I'm not an expert, but as far as I know, yes, that should be completely fine. The address on file is the address for the registered agent.
It's an address where the government can reach someone during regular office hours who can accept mail on behalf of the company. This is important for lawsuits etc., and the address has to be in the state where the company is registered, I think. At least in most states.
Most US corporations are incorporated in Delaware, for example, so they all have a registered︀ address in Delaware. Even if they don't do business in the state - most companies︁ don't. So then they have their office somewhere else and use that for their mailing︂ address.
I wouldn't say it guarantees︄ that everything is fine, but at least you've avoided one potential issue, yes.