I've agreed with a seller before that I would pay for an inspection (I was keen on compression test, it was a Subaru) at the dealership. Seller would bring it and pick it up and I just paid them.
Motor had no compression one time and I ended up buying the next one that had good compression. Nobody is going to let me do a full compression test at their house and I didn't want to buy a used sti with no compression test. So that's an example of where a buyer, even mechanically inclined, would want an inspection.
I did offer the first guy substantially less and would've just rebuilt or replaced the short block but he turned around and sold it to someone else. Blown.
Z32 TT
1996 Integra - winter beater with studs - RIP (deer)
2002 WRX - to be sold
2010 sti - winter