Meanwhile there are quarks inside every regular atom moving at speeds like 0.99995c ...
Similar to why the electron in a hydrogen atom doesn't keep emitting radiation and crash into the nucleus once it reaches its ground state... there's no lower state for it to jump to.
Either way, quarks don't have an electron-like magnetic moment, so they aren't capable of coupling to the EM field.
Every time you see a macroscopic phenomena, you are looking at a stupidly high amount of quantum levels with very similar energies.
so the real world impact is, having anything at all
It’s all relative; in the quarks frame of reference it does get all its mass from the interaction with the Higgs field.