setBigTimeout

The default behaviour of setTimeout seems problematic. Could be used for an exploit, because code like this might not work as expected:

    const attackerControlled = ...;
    if (attackerControlled < 60_000) {
      throw new Error("Must wait at least 1min!");
    }

    setTimeout(() => {
      console.log("Surely at least 1min has passed!");
    }, attackerControlled);

The attacker could set the value to a comically large number and the callback would execute immediately. This also seems to be true for NaN. The better solution (imo) would be to throw an error, but I assume we can't due to backwards compatibility.

That's just terrible input validation and has nothing to do with setTimeout.

If your code would misbehave outside a certain range of values and you're input might span a larger range, you should be checking your input against the range that's valid. Your sample code simply doesn't do that, and that's why there's a bug.

That the bug happens to involve a timer is irrelevant.

You are a bad programmer if you think silently doing the wrong thing is not a bug. The right thing to do with unexpected input as the setTimeout library author is to raise an exception.