These offers would be competing against 80-20 offers though. For the past several years in the Bay Area, it's been hard to buy even with an 80-20 because there are other buyers that put more cash down (and sometimes 100% cash).
Once they accept the offer all they care about is getting their money. Note you still Need to show in your offer letter that you have the cash to do 20% down.
Note an 80-10-10 is both an 80-20 mortgage along with a 10% loan.