Saw the term first used on the TV show where that realtor guy helps people find a new home using their recent lottery winnings. Never heard them called scratch offs prior to that.
I think I've heard various things in Ohio -- instant lottery tickets, scratchers, scratch tickets, scratch-offs, etc. I have never bought any myself, but I would know what you're talking about if you said any. I just looked on the Ohio Lottery website to see what they're "officially" called... I was expecting "Instant Lottery Tickets" but their website has a whole section labeled "Scratch-Offs."
Also in MA, near Boston, and call them scratch tickets. Never heard them called anything else until I started watching "My Lottery Dream Home" and always thought the other names for them were strange.