Just look up a manual fluid transfer pump online and see what they look like, once you see them, you'll understand what I'm talking about - basically comparing your sample pump to something like a bike air pump. Lots of them online, some are very inexpensive - I have one I picked up at Advance Auto generic pump for around $9, Works plenty fine for what I want to use it for. Name brands, like Mityvac are a couple bucks more - usually come with more fittings.
As far as design, both use positive displacement to draw in air or fluid. So in a sense, they both use vacuum to move fluid. The difference is the scale of fluid you can move, and how quickly. Most manual transfer pumps use a piston to draw in and expel fluid, the amount of fluid moved in one cycle is dependent on the length of the transfer pump body. A typical vacuum sampling pump might only move a couple of ounces at most - a transfer pump can move 10s of ounces at a time. With piston transfer pump, you could move 8-10 ounces every other stroke (one to draw in, one to push out) - no container to exchange, just two tubes to deal with. Sample pumps move enough to fill their sampling jars, many need that jar in place to generate enough vacuum to draw in fluid. You have to remove the jar, drain out, and replace to continue siphoning fluids.
I'm sort of trying to draw you away from using your oil sampling pump, as I don't want to contaminate your UOA samples down the road. Even if you clean it, some traces of coolant will be stuck in there, could spike a UOA. But its your pump, you can decide how you want to use it.