I say the following without any intent of being snarky:  There is operator error going on here, somewhere.

I use Gmail's web interface (full, not basic HTML, but that shouldn't matter) along with Firefox, Chrome, and, at times, Edge and one can copy and paste a hyperlink in "click through text" format without any difficulty.

It's a matter of figuring out where, precisely, something's gone amiss.  This sort of thing can and does happen if either the sender or the recipient uses any method to force their messages to plain text.

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Brian - Windows 10 Home, 64-Bit, Version 1809, Build 17763  

A great deal of intelligence can be invested in ignorance when the need for illusion is deep.

          ~ Saul Bellow, To Jerusalem and Back