Mole Removal - Scraping Method?

Although the phrase "scraping method" is imprecise, I am guessing that your doctor was referring to "scalpel sculpting."  This is a method of removing moles (sometimes called "beauty marks" or "birth marks") in which the scalpel blade is oriented horizontally and the mole is excised by "sculpting" it off at its base in such a way that it preserves the contours of the surrounding skin. Unlike traditional excisional surgery, no sutures are required and healing occurs on its own with 10-14 days. Scalpel sculpting is ideal for growths that project well above the skin surface.

The downside of scalpel sculpting  is that, since, by intent, the root of the mole is left within the skin, there is a chance of recurrence and/or repigmentation. Fortunately, should this occur, it is relatively simple at a later date to touch the surface with an electric needle or radiowaves to blanch the pigment and flatten the area.

Since the skin is not penetrated to any appreciable depth, the risk of signifcantly perceptible scarring is reduced substantially with this method. (Vertical scalpel cuts into the depth of the skin, by contrast with scalpel sculpting, invariably result in at least some degree of perceptible scarring).

When a growth is only minimally elevated, as in this case, scalpel sculpting is a bit more tricky to perform. I find that plumping up the mole sufficiently with local aneshetic allows, even in these cases, a relatively horizontal cut to be performed that results in a gratifying outcome.

To scrape or excise if the lesion is a mole shaving (tangential excision) may not remove all cells and it can recur. If the lesion is superficial (keratosis) scraping can be effective.

Are you confusing scraping with shaving??

Scraping===no good

Shaving ===affords  a  specimen for the lab to be analysed

Presuming it is a mole made up of melanocytes (a melanocytic nevus), it most likely has a portion above the surface of the skin and a portion below the surface of the skin.  Shaving it off the surface (or scraping) would not remove the entire thing.  It may grow back or it may just repigment, that is become darker.

Of course, removing a mole by excision will leave a linear scar, but shaving it off the surface of the skin will leave a flat scar the size of the mole itself.

If it is a seborrheic keratosis, then scraping or shaving it off the surface of the skin is a perfectly legitimate way of removing it.

Whichever way you remove it, if the cut is below the very superficial layers of the skin it may leave a scar.  There really is no way of doing scarless surgery.