Yes, you can start with the swivel trick. There is nothing to suggest you can't. You can end up reaching a couple of inches more, but raiders could always do this.
Also, you can technically move sideways. Skimmers ignore everything, unless they start or end the movement in something. So, your skimmer starts sideways, goes into the air, swivels in the air, moves thru the air, swivels again and ends the movement. Which is essentially a sideways move. As you can see, this makes moving skimmers pretty easy.
Feel free to start sideways on the edge of the table, move in sideways 6 inches, swivel if you want for position/range. The result is the same, just makes it easier for you to move the raider in.