Noob question about downgrading.

Ok I have searched this, but I never got a clear answer. I have a Wii running on 3.4 and im going to install the HBC in a day or 2. After doing so I want to downgrade my Wii to like 3.2 because I hear it runs homebrew better. I was wondering if I downgrade would i still be able to play my games online?

Thanks

Yes you can play online in whichever firmware version you are