As far as I know, you cannot play version 1.3 on console (or outside of Steam for that matter) and I would gladly make changes that make it clear that console runs are accepted for 2.0 as soon as one is actually submitted.
I went ahead and did update the tags on the game for consoles, but I haven't made any changes in other sections at this time.
Thank you for bringing this to my attention though. I think one leaderboard for console and PC runs together will work for now. If it ever became necessary we could split version 2.0 into separate console and PC leaderboards. However, with zero runs submitted for 2.0, I think updating the tags for the game is all I can do for now. I will also find somewhere more prominent to include the information that version 1.3 is unavailable on console releases.