Exhaustion: On the d20
1 = -1 2 = -2 … 9 = -9 10 = death
I have no idea what this means.
Recovery First rest shorts = - 1 Exhaustion Long rest = - 2 Exhaustion
How does this interact with the existing rules for exhaustion that say you only lose one level of exhaustion per long rest? Do you have to track exhaustion from different sources separately? What is stopping the party from taking five one hour long short rests in one day to completely eradicate all exhaustion with little effort?
This is fairly broken: The dying character can just use their action or bonus action to heal themselves, teleport away, etc. and since the short rest rule makes exhaustion trivial to heal there is barely any risk of death or even a cost for going down.
I feel like this is an overly complex, not well-thought-out nor playtested "solution" trying to patch an issue that lies somewhere completely different. If your table is taking 30 minutes for a single round of combat, either you have way too many players at the table or someone doesn't know how to run their characters. It takes some time when you're just getting started out but eventually every player (and the DM running their NPCs) should be familiar with what their character is going to do in combat and most of it should flow quite automatically. Your players (and the DM) should be planning their move during the others' turns and visibly displaying an initiative tracker letting players know when they're up can encourage them to be ready on time. If someone is taking inordinately long, say their character is too indecisive to act and skip their turn, they'll shape up in less than 5 minutes. Ban phones at the table, seriously.