Branded replacement battery packs are always a rip off.
It might work or it might not. You already know that the unit will not function at 7.7v (BTW that is very low for a nominal 9.6v battery - sure it is charging correctly?)
8.4v is quite a bit less than 9.6 so even if it does work, it might not last long.
Can the battery pack be disassembled relatively easily? There will be a stack of cells in there and these can be purchased relatively cheaply. Get the same type (NiCad/LiPo/NiMh or whatever) and the charger will still be good too.
True freedom includes the freedom to make mistakes or do foolish things and bear the consequences.
TANSTAAFL