diff --git a/lighthouse-core/report/html/renderer/report-ui-features.js b/lighthouse-core/report/html/renderer/report-ui-features.js
index 2458fa5e6fb6..bfbdc7e06fb5 100644
--- a/lighthouse-core/report/html/renderer/report-ui-features.js
+++ b/lighthouse-core/report/html/renderer/report-ui-features.js
@@ -173,9 +173,10 @@ class ReportUIFeatures {
       });
 
     tablesWithUrls.forEach((tableEl, index) => {
-      const thirdPartyRows = this._getThirdPartyRows(tableEl, this.json.finalUrl);
-      // No 3rd parties, no checkbox!
-      if (!thirdPartyRows.size) return;
+      const urlItems = this._getUrlItems(tableEl);
+      const thirdPartyRows = this._getThirdPartyRows(tableEl, urlItems, this.json.finalUrl);
+      // If all or none of the rows are 3rd party, no checkbox!
+      if (thirdPartyRows.size === urlItems.length || !thirdPartyRows.size) return;
 
       // create input box
       const filterTemplate = this._dom.cloneTemplate('#tmpl-lh-3p-filter', this._document);
@@ -216,10 +217,10 @@ class ReportUIFeatures {
    * and returns a Map of those rows, mapping from row index to row Element.
    * @param {HTMLTableElement} el
    * @param {string} finalUrl
+   * @param {Array<HTMLElement>} urlItems
    * @return {Map<number, HTMLTableRowElement>}
    */
-  _getThirdPartyRows(el, finalUrl) {
-    const urlItems = this._dom.findAll('.lh-text__url', el);
+  _getThirdPartyRows(el, urlItems, finalUrl) {
     const finalUrlRootDomain = Util.getRootDomain(finalUrl);
 
     /** @type {Map<number, HTMLTableRowElement>} */
@@ -240,6 +241,15 @@ class ReportUIFeatures {
     return thirdPartyRows;
   }
 
+  /**
+   * From a table, finds and returns URL items.
+   * @param {HTMLTableElement} tableEl
+   * @return {Array<HTMLElement>}
+   */
+  _getUrlItems(tableEl) {
+    return this._dom.findAll('.lh-text__url', tableEl);
+  }
+
   _setupStickyHeaderElements() {
     this.topbarEl = this._dom.find('.lh-topbar', this._document);
     this.scoreScaleEl = this._dom.find('.lh-scorescale', this._document);
diff --git a/lighthouse-core/test/report/html/renderer/report-ui-features-test.js b/lighthouse-core/test/report/html/renderer/report-ui-features-test.js
index 54a3d7852ddc..ca825732d110 100644
--- a/lighthouse-core/test/report/html/renderer/report-ui-features-test.js
+++ b/lighthouse-core/test/report/html/renderer/report-ui-features-test.js
@@ -124,6 +124,10 @@ describe('ReportUIFeatures', () => {
         const lhr = JSON.parse(JSON.stringify(sampleResults));
         lhr.requestedUrl = lhr.finalUrl = 'http://www.example.com';
         const webpAuditItemTemplate = sampleResults.audits['uses-webp-images'].details.items[0];
+        const renderBlockingAuditItemTemplate =
+          sampleResults.audits['render-blocking-resources'].details.items[0];
+        const textCompressionAuditItemTemplate =
+          sampleResults.audits['uses-text-compression'].details.items[0];
         // Interleave first/third party URLs to test restoring order.
         lhr.audits['uses-webp-images'].details.items = [
           {
@@ -140,6 +144,38 @@ describe('ReportUIFeatures', () => {
           },
         ];
 
+        // Only third party URLs to test that checkbox is hidden
+        lhr.audits['render-blocking-resources'].details.items = [
+          {
+            ...renderBlockingAuditItemTemplate,
+            url: 'http://www.cdn.com/script1.js', // Third party.
+          },
+          {
+            ...renderBlockingAuditItemTemplate,
+            url: 'http://www.google.com/script2.js', // Third party.
+          },
+          {
+            ...renderBlockingAuditItemTemplate,
+            url: 'http://www.notexample.com/script3.js', // Third party.
+          },
+        ];
+
+        // Only first party URLs to test that checkbox is hidden
+        lhr.audits['uses-text-compression'].details.items = [
+          {
+            ...textCompressionAuditItemTemplate,
+            url: 'http://www.example.com/font1.ttf', // First party.
+          },
+          {
+            ...textCompressionAuditItemTemplate,
+            url: 'http://www.example.com/font2.ttf', // First party.
+          },
+          {
+            ...textCompressionAuditItemTemplate,
+            url: 'http://www.example.com/font3.ttf', // First party.
+          },
+        ];
+
         // render a report onto the UIFeature dom
         container = render(lhr);
       });
@@ -160,7 +196,7 @@ describe('ReportUIFeatures', () => {
         expect(getUrlsInTable()).toEqual(['/img1.jpg', '/img2.jpg', '/img3.jpg']);
       });
 
-      it('adds no filter for audits that do not need them', () => {
+      it('adds no filter for audits in thirdPartyFilterAuditExclusions', () => {
         const checkboxClassName = 'lh-3p-filter-input';
 
         const yesCheckbox = dom.find(`#uses-webp-images .${checkboxClassName}`, container);
@@ -169,6 +205,20 @@ describe('ReportUIFeatures', () => {
         expect(() => dom.find(`#uses-rel-preconnect .${checkboxClassName}`, container))
           .toThrowError('query #uses-rel-preconnect .lh-3p-filter-input not found');
       });
+
+      it('adds no filter for audits with tables containing only third party resources', () => {
+        const checkboxClassName = 'lh-3p-filter-input';
+
+        expect(() => dom.find(`#render-blocking-resources .${checkboxClassName}`, container))
+          .toThrowError('query #render-blocking-resources .lh-3p-filter-input not found');
+      });
+
+      it('adds no filter for audits with tables containing only first party resources', () => {
+        const checkboxClassName = 'lh-3p-filter-input';
+
+        expect(() => dom.find(`#uses-text-compression .${checkboxClassName}`, container))
+          .toThrowError('query #uses-text-compression .lh-3p-filter-input not found');
+      });
     });
   });