All the big players in this market are using their own brands rather than the generic term and seem happy.
When users want a local bargain, I'm not sure that they'll search on "group discounts", more likely a much more specific search term.
I do think the name has a bit of potential, but I don't think GroupOn will lose sleep over it.
Good luck with the sale, I won't attempt a valuation.
Rgds
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