I don't think that is much of an improvement. Assuming you don't know the contents of the issue at hand your going to have to go away and take a look and by someone asking if you have a moment to look at it they are giving you an explicit opportunity to say I'll take a look at it this afternoon / tomorrow / before the heat death of the universe. Again, if there was an established relationship between me and the person asking then it may not be necessary. In any case it's still 100x better than a "hey, how are you?" from some random who couldn't give two shits about how you really were.

Issue trackers are poor at back and forth discussion in my experience. Yes, you need to make sure that any important information or the conclusion of a separate discussion is recorded in the ticket but it would take all day to have a short conversation about an item, the whole time every person who'd ever looked at the ticket in the wrong tone of voice gets an email alert.