Wouldn’t all traffic be routed through the OS/processor on board?
You'd be shocked to find out how old and weak the CPU in your current router is. Typically they're on par with low end desktop CPUs from 10-15 years ago.
Wait until you hear about CAPWAP!
A CPU from the last 20 years can route traffic at gigabit speed. It's only something to worry about for a Raspberry Pi3 or something similarly 'crippled'.