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Any regulation will have this effect, and the details you speak of determine the degree.
There's more to it than that.
The ban on leaded gasoline makes gasoline somewhat more expensive. If you multiply that by all the unleaded gasoline everybody has bought since the 1970s, that's a lot of money! But lead is really, really, really bad. That ban is cost effective even if it costs billions of dollars. Which it does, but the alternative is much worse.
There are other regulations that cost just as much and provide nowhere near the same benefit. The deterrent effect on doing business in the US of both regulations is the same, but the benefit we receive isn't.
And the deterrent is cumulative. There are advantages to doing business in the US. An educated workforce and a stable government etc. Companies move out when the cumulative regulatory deterrent exceeds the advantages.
Which means you can have a ban on leaded gasoline without anyone leaving, because the cost of that doesn't exceed the other advantages of the US. Which means that anyone trying to repeal the ban on leaded gasoline is doing it wrong.
But if you have a ban on leaded gasoline and 250,000 other regulations that each cost just as much but are barely breakeven if that on the benefit side, you exceed the threshold and lose the jobs. To get the jobs back, you have to get rid of some of the regulations.
We need to get rid of the ones with a poor cost benefit ratio, not the ones with a great cost benefit ratio. Which is, to be honest, most of them -- but it's still really important that it be the right ones.