What you should consider before going into the shop is what you'll accept when you leave. If your mind is set so that you won't accept a mess like that, then before paying for it, you inspect the vehicle to be sure that the requested service has been performed to your satisfaction. For an oil change, you lift the hood, pull the dipstick, and check that the oil filter has been changed. For a spin-on, it's easy. For a cartridge, not as easy. Then, if all the physical items meet with your approval, you check for oil spills or other issues and discuss them before accepting it back. For that mess, you could simply say that it's not acceptable and they need to clean it up to a reasonable level.
I've had my car returned with oil stains like your image shows, although not quite as large, but also with oily hand prints on the hood, door, outer handle, inner handle, steering wheel, and shifter. When I sat in the seat with the door open, I saw a small line of oil running down the body near the hinge. My decision that day was to never go back instead of confront them. Now I do my own oil changes, but if I can find a shop with reasonable labor rates where I supply the oil, I'll consider that. Until then, I'm on my back.