diff --git a/bitcoin/src/blockdata/script/borrowed.rs b/bitcoin/src/blockdata/script/borrowed.rs
index f969c7c4c..7cc5fca7d 100644
--- a/bitcoin/src/blockdata/script/borrowed.rs
+++ b/bitcoin/src/blockdata/script/borrowed.rs
@@ -376,19 +376,19 @@ crate::internal_macros::define_extension_trait! {
         fn to_asm_string(&self) -> String { self.to_string() }
 
         /// Consensus encodes the script as lower-case hex.
-        #[deprecated(since = "TBD", note = "use `to_hex_string_prefixed()` instead")]
-        fn to_hex_string(&self) -> String { self.to_hex_string_prefixed() }
+        #[deprecated(since = "TBD", note = "use `to_hex_string_no_length_prefix` instead")]
+        fn to_hex_string(&self) -> String { self.to_hex_string_no_length_prefix() }
 
         /// Consensus encodes the script as lower-case hex.
+        ///
+        /// Consensus encoding includes a length prefix. To hex encode without the length prefix use
+        /// `to_hex_string_no_length_prefix`.
         fn to_hex_string_prefixed(&self) -> String { consensus::encode::serialize_hex(self) }
 
-        /// Consensus encodes the script as lower-case hex.
+        /// Encodes the script as lower-case hex.
         ///
-        /// This is **not** consensus encoding, you likely want to use `to_hex_string_prefixed`.
-        ///
-        /// # Returns
-        ///
-        /// The returned hex string will not include the length prefix.
+        /// This is **not** consensus encoding. The returned hex string will not include the length
+        /// prefix. See `to_hex_string_prefixed`.
         fn to_hex_string_no_length_prefix(&self) -> String {
             self.as_bytes().to_lower_hex_string()
         }
diff --git a/bitcoin/src/blockdata/script/owned.rs b/bitcoin/src/blockdata/script/owned.rs
index 2b2bc818d..da3db6e11 100644
--- a/bitcoin/src/blockdata/script/owned.rs
+++ b/bitcoin/src/blockdata/script/owned.rs
@@ -35,17 +35,15 @@ crate::internal_macros::define_extension_trait! {
         }
 
         /// Constructs a new [`ScriptBuf`] from a hex string.
-        ///
-        /// The input string is expected to be consensus encoded i.e., includes the length prefix.
-        #[deprecated(since = "TBD", note = "use `from_hex_string_prefixed()` instead")]
-        fn from_hex(s: &str) -> Result<ScriptBuf, consensus::FromHexError> {
-            Self::from_hex_prefixed(s)
+        #[deprecated(since = "TBD", note = "use `from_hex_string_no_length_prefix()` instead")]
+        fn from_hex(s: &str) -> Result<ScriptBuf, hex::HexToBytesError> {
+            Self::from_hex_no_length_prefix(s)
         }
 
         /// Constructs a new [`ScriptBuf`] from a hex string.
         ///
-        /// This is **not** consensus encoding. If your hex string is a consensus encode script then
-        /// use `ScriptBuf::from_hex`.
+        /// This is **not** consensus encoding. If your hex string is a consensus encoded script
+        /// then use `ScriptBuf::from_hex_prefixed`.
         fn from_hex_no_length_prefix(s: &str) -> Result<ScriptBuf, hex::HexToBytesError> {
             let v = Vec::from_hex(s)?;
             Ok(ScriptBuf::from_bytes(v))