Offering Beats as a temptation for PCs engaging in reckless acts is perfectly good form at any table I have played at. Simple smile evilly to your players the next time they roll a dox and offer an arcane beat in return for releasing the paradox. I would suggest having the consequences be mildly annoying/interesting and humorous the first time you do it, rather than overly macabre or disastrous, then ramp up as it becomes a more established part of the experience.