Anecdotally, it would seem so.
I think it depends on the root of the hatred. An awful lot of hatred comes from ignorance, and when people dispell the ignorance, the hatred follows.
But sometimes the hatred is so fundamental to someone’s lived experiences that even if it’s obviously wrong, it’s absolutely true to them. In those cases, I suspect it would be harder to let go of it.
That’s not empirically true. I pay for water as a flat rate in Quebec as part of my municipal taxes, as do all of my neighbors, and I don’t see people engaging in flagrant water wastage. Lawns routinely go yellow during the hottest parts of the summer, I rarely see people washing their cars, and low flush toilets are getting increasingly common.