It's risk versus reward, and the reward is much greater than the risk, because there is no risk.
It's very well known in the MMA community that UFC fighters are underpaid. That's been out in the open for a long time, there's no risk in that being echoed over and over again, even to casuals by influential figures like Jake. It will do very little to change much of anything.
UFC fighters themselves have complained about low pay for almost 20 years. What's changed? You also have to take two things into consideration - WME makes a lot of money from Jake, and there's no such thing as bad press.
Casuals watching Jake knock out former, aged and on the verge of retirement, UFC fighters does not hurt the UFC's brand in any kind of way. The UFC parted ways with them, as they were deemed to no longer be UFC caliber.
Take all of the crazy things Jones and McGregor have (allegedly) done over the years, while under contract with UFC, all of them, every detail, give it a bit of thought, then tell me that you are actually convinced that Jake Paul can hurt the UFC's brand or marketability. If those two can't do it, he can't either.
Jake Paul alone is not going to force UFC to raise their expenses, no matter what he says.
All things considered, there is literally nothing happening regarding Jake and Dana that doesn't benefit WME. Jake bad mouthing Dana/UFC puts money in WME's bank account, Dana/UFC bad mouthing Jake puts money in WME's bank account. That's a lot to gain, with nothing to lose.