As far as we know here at the Cancer Society, any doctor removing a mole would send it away for testing if there was any doubt at all about whether it was of concern or not, just to be sure. In fact, if they are removing the mole in the first place, it would usually be because they are a bit worried about it. Unless it was the position of the mole that was a problem, like under a bra strap area or similar.
Moles do look different to a very trained eye, but it might depend on who was doing it. A general practitioner might be more cautious than a specialist, who could tell more about the mole from closely examining it.