Im going to begin with saying that nobody should go to the gym and test what you said. An untrained male that is 200lbs will absolutely get hurt if they try to attempt a 160lb bench press, 200lb squat, or 300lb deadlift. In fact i'd argue that they would be more likely than not to get a serious injury if they were untrained and actually attempted any of those. Untrained numbers are going to be half of what you said to test.
What is this supposed to be an approach for? Overall fitness level?
Although im going to add a disclaimer for anyone reading this that wants to give this a try.
According to StrengthLevel, which is community sourced stats, for an average male on their site which skews exclusively towards people who do strength training here are the bodyweight ratio's for beginners, who are usually classified as AT LEAST a month of training to 6 months
- Bench press .50x of weight
- Squat .75x of weight
- Deadlift 1.00x of weight
Moving up to novice which is 6 months to 2 years the numbers are in line with what you shared. So people who haven't lifted should definitely not try to test their strength by going straight to novice numbers on the bar. They WILL hurt themselves if they put anywhere close to that weight and have no spotter or spotter bars.