I've seen the dice face swap roguelike a few times. It is a fun concept. You did a great job with it here, as you keep the tutorials to a minimum and immediately have the player experiment with the system.
No issues with this mechanic. It fits the theme and is very fun. I urge you to check out Roll for Royalty, which used an almost identical system (but struggled with presentation). It used some cool effects that could be implemented in your face swap, like burn, and extra coins.
The rolling for movement system is cool, but I feel it takes away from the general strategy. Just the face swap mechanic by itself would be fine.
Music, sounds, and art all are great.
I did encounter a bug where if you quickly mash space after rolling the number de, you will jump again and reroll both dice. It will then lock the game. (Seems everyone has reported this already. Sorry)