diff --git a/packages/pass-style/src/passStyle-helpers.js b/packages/pass-style/src/passStyle-helpers.js
index 4afb6e0efb..911e3455f9 100644
--- a/packages/pass-style/src/passStyle-helpers.js
+++ b/packages/pass-style/src/passStyle-helpers.js
@@ -125,7 +125,7 @@ harden(checkNormalProperty);
 
 /**
  * @template {import('./types.js').InterfaceSpec} T
- * @param {import('./types.js').TaggedRecord<any, T>} tagRecord
+ * @param {import('./types.js').PassStyled<any, T>} tagRecord
  * @returns {T}
  */
 export const getTag = tagRecord => tagRecord[Symbol.toStringTag];
@@ -144,7 +144,7 @@ harden(checkPassStyle);
 
 const makeCheckTagRecord = checkProto => {
   /**
-   * @param {import('./types.js').TaggedRecord<any, any>} tagRecord
+   * @param {import('./types.js').PassStyled<any, any>} tagRecord
    * @param {PassStyle} passStyle
    * @param {Checker} [check]
    * @returns {boolean}
diff --git a/packages/pass-style/src/remotable.js b/packages/pass-style/src/remotable.js
index 8d4add0968..1f2b91d43a 100644
--- a/packages/pass-style/src/remotable.js
+++ b/packages/pass-style/src/remotable.js
@@ -169,7 +169,7 @@ const checkRemotable = (val, check) => {
 /**
  * Simple semantics, just tell what interface (or undefined) a remotable has.
  * @type {{
- * <T extends string>(val: import('./types.js').TaggedRecord<any, T>): T;
+ * <T extends string>(val: import('./types.js').PassStyled<any, T>): T;
  * (val: any): string | undefined;
  * }}
  * @returns the interface specification, or undefined
diff --git a/packages/pass-style/src/types.d.ts b/packages/pass-style/src/types.d.ts
index 040865c05d..65080677cc 100644
--- a/packages/pass-style/src/types.d.ts
+++ b/packages/pass-style/src/types.d.ts
@@ -33,11 +33,17 @@ export type PassStyle =
 
 export type TaggedOrRemotable = 'tagged' | 'remotable';
 
-export type PassStyled<S extends TaggedOrRemotable> = {
+/**
+ * Tagged has own [PASS_STYLE]: "tagged", [Symbol.toStringTag]: $tag.
+ *
+ * Remotable has a prototype chain in which the penultimate object has own [PASS_STYLE]: "remotable", [Symbol.toStringTag]: $iface (where both $tag and $iface must be strings, and the latter must either be "Remotable" or start with "Alleged: " or "DebugName: ").
+ */
+export type PassStyled<S extends TaggedOrRemotable, I extends InterfaceSpec> = {
   [PASS_STYLE]: S;
+  [Symbol.toStringTag]: I;
 };
 
-export type ExtractStyle<P extends PassStyled<any>> = P[typeof PASS_STYLE];
+export type ExtractStyle<P extends PassStyled<any, any>> = P[typeof PASS_STYLE];
 
 export type PassByCopy =
   | Primitive
@@ -103,7 +109,7 @@ export type PassStyleOf = {
   (p: any[]): 'copyArray';
   (p: Iterable<any>): 'remotable';
   (p: Iterator<any, any, undefined>): 'remotable';
-  <T extends PassStyled<TaggedOrRemotable>>(p: T): ExtractStyle<T>;
+  <T extends PassStyled<TaggedOrRemotable, any>>(p: T): ExtractStyle<T>;
   (p: { [key: string]: any }): 'copyRecord';
   (p: any): PassStyle;
 };
@@ -130,12 +136,6 @@ export type PassStyleOf = {
  * any potential proxies.
  */
 export type PureData = Passable<never, never>;
-export type TaggedRecord<
-  S extends TaggedOrRemotable,
-  I extends InterfaceSpec,
-> = PassStyled<S> & {
-  [Symbol.toStringTag]: I;
-};
 /**
  * An object marked as remotely accessible using the `Far` or `Remotable`
  * functions, or a local presence representing such a remote object.
@@ -143,7 +143,7 @@ export type TaggedRecord<
  * A more natural name would be Remotable, but that could be confused with the
  * value of the `Remotable` export of this module (a function).
  */
-export type RemotableObject<I extends InterfaceSpec = string> = TaggedRecord<
+export type RemotableObject<I extends InterfaceSpec = string> = PassStyled<
   'remotable',
   I
 >;
@@ -171,7 +171,7 @@ export type CopyRecord<T extends Passable = any> = Record<string, T>;
 export type CopyTagged<
   Tag extends string = string,
   Payload extends Passable = any,
-> = TaggedRecord<'tagged', Tag> & {
+> = PassStyled<'tagged', Tag> & {
   payload: Payload;
 };
 /**