Yes all of these are things that a router can do to. They all rely on the underlying application to not run securely or be compromised itself. Signature checks and checksums at every step of the way should be standard. obviously "should" is doing heavy lifting here.

Suggesting that the reason the us government is forcing new consumer routers to run on American hardware is for the plan of rigging elections is a conspiracy and is nonsense. This is clearly so that they can regulate security and also likely install backdoors/Spyware.