diff --git a/src/interfaces/ISablierV2Lockup.sol b/src/interfaces/ISablierV2Lockup.sol
index ee797a524..4a4bc09b1 100644
--- a/src/interfaces/ISablierV2Lockup.sol
+++ b/src/interfaces/ISablierV2Lockup.sol
@@ -244,11 +244,14 @@ interface ISablierV2Lockup is
     /// Notes:
     /// - This function attempts to invoke a hook on the stream's recipient, provided that the recipient is a contract
     /// and `msg.sender` is not the recipient.
+    /// - This function attempts to invoke a hook on the stream's sender, provided that the sender is a contract
+    /// and `msg.sender` is not the sender.
     ///
     /// Requirements:
     /// - Must not be delegate called.
     /// - `streamId` must not reference a null or depleted stream.
-    /// - `to` must be the recipient if `msg.sender` is not the stream's recipient or an approved third party.
+    /// - if `msg.sender` is not the stream's recipient, nor an approved third party, the `to`
+    /// must be the recipient.
     /// - `to` must not be the zero address.
     /// - `amount` must be greater than zero and must not exceed the withdrawable amount.
     ///
@@ -294,7 +297,7 @@ interface ISablierV2Lockup is
     /// @dev Emits multiple {Transfer}, {WithdrawFromLockupStream}, and {MetadataUpdate} events.
     ///
     /// Notes:
-    /// - This function attempts to call a hook on the recipient of each stream, unless `msg.sender` is the recipient.
+    /// - Refer to the notes in {withdraw}.
     ///
     /// Requirements:
     /// - Must not be delegate called.
diff --git a/src/interfaces/hooks/ISablierV2Recipient.sol b/src/interfaces/hooks/ISablierV2Recipient.sol
index d6e029af6..063f00edd 100644
--- a/src/interfaces/hooks/ISablierV2Recipient.sol
+++ b/src/interfaces/hooks/ISablierV2Recipient.sol
@@ -33,7 +33,7 @@ interface ISablierV2Recipient {
     /// @param streamId The id of the renounced stream.
     function onLockupStreamRenounced(uint256 streamId) external;
 
-    /// @notice Responds to withdrawals triggered by either the stream's sender or an approved third party.
+    /// @notice Responds to withdrawals triggered by anyone but not the recipient address.
     ///
     /// @dev Notes:
     /// - This function may revert, but the Sablier contract will ignore the revert.
diff --git a/src/interfaces/hooks/ISablierV2Sender.sol b/src/interfaces/hooks/ISablierV2Sender.sol
index 632e13065..40dbbac45 100644
--- a/src/interfaces/hooks/ISablierV2Sender.sol
+++ b/src/interfaces/hooks/ISablierV2Sender.sol
@@ -6,7 +6,7 @@ pragma solidity >=0.8.22;
 /// @dev Implementation of this interface is optional. If a sender contract doesn't implement this
 /// interface or implements it partially, function execution will not revert.
 interface ISablierV2Sender {
-    /// @notice Responds to withdrawals triggered by either the stream's recipient or an approved third party.
+    /// @notice Responds to withdrawals triggered by anyone but not the sender address.
     ///
     /// @dev Notes:
     /// - This function may revert, but the Sablier contract will ignore the revert.
diff --git a/test/integration/fuzz/lockup/withdraw.t.sol b/test/integration/fuzz/lockup/withdraw.t.sol
index 4cae7165e..9339ed7c3 100644
--- a/test/integration/fuzz/lockup/withdraw.t.sol
+++ b/test/integration/fuzz/lockup/withdraw.t.sol
@@ -155,7 +155,6 @@ abstract contract Withdraw_Integration_Fuzz_Test is Integration_Test, Withdraw_I
     /// - Multiple withdraw amounts
     function testFuzz_Withdraw(
         uint256 timeJump,
-        address caller,
         address to,
         uint128 withdrawAmount
     )