Let document.hasStorageAccess check whether the Document already has unpartitioned data access

storage-access.bs

@@ -129,6 +129,8 @@ A {{Document}} is in a <dfn>first-party-site context</dfn> if it is the [=active
 
 A {{Document}} is in a <dfn>third party context</dfn> if it is not in a [=first-party-site context=].
 
+<dfn>Global user settings</dfn> are user agent settings that can be modified by users.
+
 <h3 id="ua-state">Changes to user agent state related to storage access</h3>
 
 Modify the definition of [=environment=] in the following manner:
@@ -162,7 +164,10 @@ When invoked on {{Document}} |doc|, the <dfn export method for=Document><code>ha
 
     ISSUE: "same authority" here is a placeholder for a future concept that allows user agents to perform [=same site=] checks while adhering to additional security aspects such as the presence of a cross-site parent document, see [whatwg/storage#142](https://github.com/whatwg/storage/issues/142#issuecomment-1122147159). In practice, this might involve comparing the [=site for cookies=] or performing a [=same site=] check with the top-level document.
 
-1. [=Queue a global task=] on the [=permissions task source=] given |global| to [=/resolve=] |p| with |global|'s [=environment/has storage access=].
+1. If |global|'s [=environment/has storage access=] is true, [=/resolve=] |p| with true and return |p|.
+1. Run the following steps [=in parallel=]:
+    1. Let |has unpartitioned data access| be the result of whether the user agent allows |doc| access [=unpartitioned data=] based on [=global user settings=].
+    1. [=Queue a global task=] on the [=permissions task source=] given |global| to [=/resolve=] |p| with |has unpartitioned data access|.
 1. Return |p|.
 
 When invoked on {{Document}} |doc|, the <dfn export method for=Document><code>requestStorageAccess()</code></dfn> method must run these steps:
@@ -185,7 +190,7 @@ When invoked on {{Document}} |doc|, the <dfn export method for=Document><code>re
         NOTE: This check is [=same site=] on purpose, to allow embedded sites to use `requestStorageAccess()` to opt into storage access without involvement from the end user in scenarios where storage access is restricted for security and not privacy purposes.
 
 1. If |doc|'s [=active sandboxing flag set=] has its [=sandbox storage access by user activation flag=] set, [=/reject=] |p| with a "{{NotAllowedError}}" {{DOMException}} and return |p|.
-1. If |global|'s [=environment/has storage access=] is true, [=/resolve=] |p| with {{undefined}} and return.
+1. If |global|'s [=environment/has storage access=] is true, [=/resolve=] and return |p|.
 1. Let |has transient activation| be whether |doc|'s {{Window}} object has [=transient activation=].
 1. Run the following steps [=in parallel=]:
     1. Let |process permission state| be an algorithm that, given a [=permission state=] |state|, runs the following steps:
@@ -442,4 +447,4 @@ Zach Edwards,
 and everyone who commented on [whatwg/html#3338](https://github.com/whatwg/html/issues/3338), [privacycg/proposals#2](https://github.com/privacycg/proposals/issues/2), and [privacycg/storage-access/issues](https://github.com/privacycg/storage-access/issues)
 for their feedback on this proposal.
 
-Thanks to the [WebKit Open Source Project](https://webkit.org/) for allowing us to use the [Storage Access API Prompt](#example-prompt) image, which was [originally published on webkit.org](https://webkit.org/blog/8311/intelligent-tracking-prevention-2-0/).
+Thanks to the [WebKit Open Source Project](https://webkit.org/) for allowing us to use the [Storage Access API Prompt](#example-prompt) image, which was [originally published on webkit.org](https://webkit.org/blog/8311/intelligent-tracking-prevention-2-0/).