The early
inverters were crude by todays standards but would run power tools pretty well.
Today's better inverters are about 25% more efficient and output a true sine wave and can extract more energy from the battery before shutting down.
if all you are doing is charging a laptop and running a couple of led lamps you can run a long time before you need to recharge the battery. if you are running a table saw probably 10 minuets of intermittent use
I would not use the vehicle battery for the tablesaw but would for tthe lights.
Your intended use controls that decision.