It looks to me like there are 10 pairs of contacts and that each pair is designed to 'squeeze' one pin.
Numbering left to right what worries me are pairs 3 & 4, they look to have lost the spacer that 'should' be between them, meaning that the right side of pair 3 and the left side of pair 4 are unsupported, I would worry they would lose contact with the pin.
I do not know if that would cause a battery error but is it worth the risk.
I also have some concern about spacers 4 & 5 (3 seemingly being missing) and whether or not spacers 4 & 5 will survive straighteneing.
If you like fixing things watch ebay for a knackered battery and see it you could remove this connector from the knackered battery and use it to fix yours?