No, they’re advertised as “50 watts maximum transmit power”, meaning they are limited to 50 watts. They’re not guaranteed to transmit 50 watts. Here the page: https://www.buytwowayradios.com/wouxun-kg-1000g.html
Further to the point made by everyone who has responded to you, the “Power Requirements” section states “13.8VDC +/-15%”.
A car’s voltage regulator is set to put out 13.8 volts while the engine is running (+/- some tolerance) in order to constantly charge the battery. A battery in a car that is not running will only have 12.7 volts or so.
More to the point, the FCC limits mobile GMRS transmitters to 50 watts output. That limitation must be obeyed under any circumstances, including when your car is running. Thus, mobile radios are adjusted to transmit up to their maximum transmit power when the car is running and allowed to sag somewhat when running on straight battery power.
That’s the real life scenario.