A little side observation:
Dropping a proposal can only happen if the original proposer decides to do that, it can not be done just because objections are valid.
In the integration round, the objector has to come up with a counter proposal that will still address the original proposer's tension. If the counter proposal is not good enough, then the proposer will need to, again, counter with a different proposal. This goes back and forth until a proposal that's "safe and good enough to try" is found.
In your example, perhaps, one approach is to ask why the proposer needed to relax the requirement and then try to solve that a different way, i.e. other than by changing the threshold.