Replicating TMaps, what are my options?

You will not have accurate stat values on the clients, no matter how hard you try, unless you change the entire network model to be a “deterministic, queued-commands” model like most RTS-es. The Unreal networking model by default makes implementing that pretty hard, and on mobile you have no guarantee of numeric determinism, so it’s a very very hard thing to implement. I’d suggest living with the fact that some stats are going to be off for a little bit on the client occasionally.

Isn’t that exactly what I suggested above? (Actually, I suggested re-calculating only when things actually change, which will be less than once per frame typically)