If everyone ends up with the same vote distribution, I think it removes the incentive for colluding beforehand, but it also means the vote is no longer meaningfully quadratic. The rank ordering of the candidates will be in order of how many total points were spent on them, and you basically end up with score voting.
edit: I assume that the automatic collusion mechanism is something like averaging the two ballots’ allocations for each candidate, which does not change the number of points spent on each candidate. If instead some ballots end up causing more points to be spent on their preferred candidates than they initially had to work with, there are almost definitely opportunities for strategic voting and beforehand collusion.
If everyone ends up with the same vote distribution, I think it removes the incentive for colluding beforehand, but it also means the vote is no longer meaningfully quadratic. The rank ordering of the candidates will be in order of how many total points were spent on them, and you basically end up with score voting.
edit: I assume that the automatic collusion mechanism is something like averaging the two ballots’ allocations for each candidate, which does not change the number of points spent on each candidate. If instead some ballots end up causing more points to be spent on their preferred candidates than they initially had to work with, there are almost definitely opportunities for strategic voting and beforehand collusion.