My take on it:
It’s not a bad idea, but the issue is minor and your energy might be better spent on other things.
In your question you provided a good example of when it might catch an error, but occasionally you also end up doing something like this:
void foo(const int count /* … */)
{
int temp = count; // can't modify count, so we need a copy of it
++temp;
/* … */
}
The pros and cons are minor either way.