It's all in the choice. If I had a CHOICE and were offered way over value (which in this case I've found the "value" was way low from reality) I may well take it. I wouldn't want to be "forced" to take it though.
If I had a REAL choice in the matter, I'd ask for about ten times their offer (maybe more), as an initial bargaining position. Then I could, maybe, find out what it's really worth ...
I'm not very attached to my home, so I'd definitely take it if the offer makes me a decent profit plus a little extra to cover the trouble of moving. But that's just me.