If I got an offer that I had not seen or wanted to stall on, or whatever, and it was a great price they offered but was time limited I would still give a counter offer a go. 

Others may not.  I would, because I sell stuff on ebay.  I would give it ago, who knows they may accept, ignore or counter offer again - it I didn't  counter offer I wouldn't  know - and I might even add a deal sweetner to see if I could rekindle interest - might not either, depends.