That downtime in a battle royale creates a really fun tension. Unfortunately, it does feel like dominant strategies emerge in that genre a little too easily, and then they become repetitive, so you don't get that early feeling with the game for more than a few weeks.
MOBAs can take many forms, and a lot of them don't look anything like an RTS, but they do usually give you the good parts of leveling up and becoming more powerful in an RPG over the course of about a half hour.