We added our $24 400 watt MSW inverter in 05. Never seen the magic smoke. Normal use we either are charging daytime or use for evening TV. TV, soundbar, dvd, sat box (HR 44), all on, max draw is ~45 watts.
Overhead to run the inverter is about 10% of load, generally less than 4 watts. Point being a 600 watt inverter for the items OP listed will never see anywhere near its capacity.
I had added several split shore/inverter receptacles for charging. But most items now will charge directly from the 12v so have since added several USB ports. Seemed silly to charge phones/ipads etc with inverter. Cept my laptop-it charges at 19v/4+ amps but found a charger that will do that from the 12v. So no longer use inverter for charging, primarily inverter now only used to power entertainment stuff.
Personally hard to justify spending more than what the item to be 'protected' costs- unless it smoked something, but hasnt. If I ever replace thouhg, Id go smaller PSW, I just dont have the loads so could afford the insurance.
However if you have item the 'requires' PSW, unless your planning on running second inverter for 'dumb' stuff seems question answered? If your in the process, thouhg likey 3/4 times the cost bite the bullet.
Am curious about an AC lamp? Perfect thouhg for the MSW.