I've noticed that if you have the same game on multiple platforms and you mark one of them with the status of Retired, that selection defaults on the game's main page under the collections tab.

For example, I own Company of Heroes digitally on Steam and also physically on PC/Windows. I've not completed the game either way. But for my collection, I've marked the physical copy as Retired because if I am going to play/finish the game, I'm going to play it on Steam.

So the game is incomplete progress wise, but anyone looking at who owns the game on the collections tab would see that I've just retired the game. Maybe I am just being too picky or don't understand the Retired status.

Maybe I should just mark the copies I'm not going to play as N/A.

Assuming you're referring to this page, it shows it as Incomplete for me. Since each user only gets one row (with potentially multiple platforms displayed), I suspect I'm just picking the first status and showing it. And by first, I mean there's probably not any special logic, so it's however the database decides to determine the "first" one.

Yes that page. It shows Incomplete because I changed both CoH entries to Incomplete rather than having one as Retired. But yes, I'm sure it's a database thing and not sure really why it decides to display a Retired status as a higher value than Incomplete with multiple entries.