When I saw this post, I realized a problem I had previously overlooked: when the copied rich text is entirely a link, pasting it into Bike will be plain text. The link only works when the rich text includes formats other than the link itself.
Perhaps I am slow, as I remember this change from a couple months ago? And there was also a discussion about link formatting at the time, but I can’t find the post now, and I forget what was discussed about. Maybe there’s a consensus on the current behavior of links, sorry I’m a bit out of touch.