You can't be "not convinced" that things would be better - "we" have a free market and that market produced sunscreen in the first place, without which we would have worse health outcomes. There's nothing to imagine - it happened. Things are better for us.
China doesn't have the same strict regulations, and yet when we compare life expectancy the difference isn't particularly big.
Thought terminating cliches like "Better safe than sorry" simply don't stand up to scrutiny once you actually check the numbers.
No, eating brasilian beef isn't going to kill you, and stopping imports from there is going to do a whole lot more to make you poorer than it will help your health. Take a walk, that will help you a whole lot more, and won't make you poorer.