Dry aging venison also allows for moisture loss that is usually associated with gamey flavors.
3-4 days might get you there, idk. A lot hinges on humidity, temps and air flow 70% humidity and 35 degrees is a good ball park figure.
As for concentrated flavors, much of those flavors have to do with the environmental molds in the aging area. These are good molds and as expected, each area can have different strains.
Tenderness can be achieved via dry or wet aging (I'm talking about placing meat in a vacuumed sealed bag, not in ice water).
If meat doesnt go through basic rigor it will be much tougher, so 24 hrs is the minimum anyone should "age" meat before processing unless it's going straight to the grinder. I'd guess and say 3-4 days in the minimum you should age one before things start to take a noticeable difference in taste and tenderness. In the beef world, 14 days is a bare minimum to achieve tenderness. Keep in mind beef carcasses are much bigger than typical deer, so in theory I'd think you could probably achieve tenderness in venison by day 7. Maybe on a younger and smaller deer you could get there in sub 7 days, idk but there isn't a truly designed study I'm aware of. Maybe in countries with high farmed venison consumption studies might exist, I haven't look but it would be interesting. I just know in the US most aging research is beef related.
Also, your cooking methods matter too. I wouldn't go through the whole aging process to later grind up most of the deer and/or use wet cooking methods. Or, if you put ketchup on your steak.