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            <b><a class="bz_bug_link 
          bz_status_NEW "
   title="NEW - FILEOPEN: DOCX: URL in comment imported as plain text"
   href="https://bugs.documentfoundation.org/show_bug.cgi?id=114854#c3">Comment # 3</a>
              on <a class="bz_bug_link 
          bz_status_NEW "
   title="NEW - FILEOPEN: DOCX: URL in comment imported as plain text"
   href="https://bugs.documentfoundation.org/show_bug.cgi?id=114854">bug 114854</a>
              from <span class="vcard"><a class="email" href="mailto:jluth@mail.com" title="Justin L <jluth@mail.com>"> <span class="fn">Justin L</span></a>
</span></b>
        <pre>(In reply to Justin L from <a href="show_bug.cgi?id=114854#c0">comment #0</a>)
<span class="quote">> The same code is used for setting the URL property in regular
> text and works fine there.</span >
Normal text uses SwTextCursor, while the draw-based cursor uses
SvxUnoTextRangeBase. 

Since .doc format worked, I found that it uses Draw to ImportAsOutliner
m_pDrawEditEngine->QuickInsertField(SvxFieldItem(aURL, EE_FEATURE_FIELD),
aSel);

That suggests doing something like this
#include <editeng/flditem.hxx>
#include <editeng/unotext.hxx>
SvxUnoTextRangeBase* pDrawText =
dynamic_cast<SvxUnoTextRangeBase*>(xCrsr.get());
if ( pDrawText )
    pDrawText->attachField(
std::make_unique<SvxURLField>(pContext->GetHyperlinkURL(), "the displayed
text", SvxURLFormat::AppDefault) );</pre>
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