So I was talking with the other THR guys on our super secret awesome public group page, and mentioned this request, a few of them thought it was a good enough idea to submit as a feature request. So here it is.
Since each time you try and improve your Jam, without choosing an opponent it randomly pairs you with someone who is just barely faster than your time. I would love to see Turborilla implement a counter to your Jam time “X players have failed to beat your Jam time”, “X players have surpassed your Jam time”. To know how many times you sucessfully or unsucessfully defended your time. It would also be neat if it could display the last person to sucessfully beat you on your run, so you could challenge them (Maybe a Revenge button or something, that lets you directly challenge against their Jam run).