I’m saving up for a high-end gaming computer.
I want an operating system that allows me to access the internet for online play and game updates.
I don’t want Windows or Chrome.
I’ll do all my surfing, commenting and emailing on another computer.
I want a clean, lean and mean gaming machine without any extraneous crap on it.
Is Linux what I’m looking for?
It really depends on the game(s) you are wanting to play.
Steam has a native Linux client that is pretty good. There are Linux versions of several of the major games out there--but there are also several games with no Linux native versions for which you would have to run an emulator (like Wine).
Given that you have a specific goal in mind, I would perform more research into the titles you are interested in.
As far as Internet connectivity, that's a no-brainer. Linux will get you online faster than Windows typically does.