Again, this endangerment argument would be much much stronger if the Triplet were actually laying low and not, you know, doing random crap to get themselves exposed on. the. regular. just for farts and giggles. There's Rosa, Flint (at an alien conspiracy festival no less! To quote one of my favorite comedies 'It's almost like you want to die!') and Isobel chugging nail polish remover from the bottle in a middle of a crowded bar. Those are just off the top of my head!
They do reckless, highly visible stuff to draw attention to themselves that has zero beneficial value. So life-saving research being the hill Max suddenly decides to dig his heels in on is distasteful. Do they have to agree? No. But if their reason is a risk of exposure, Liz's back alley experiments don't hold a candle to the s%& they've done, lol. But I guess mileage will vary on this one.
Max's sanctimonious bs is underscored by how he made sure to save the vials of that orange serum he's so fond of ( 1. Liz created that through her research btw and 2. the serum is probably one of the most dangerous things to the Triplet in that entire lab, so what was his drivel about shutting down the lab to 'protect his family'?) but then torched all the other research and materials that could have helped, you know, any one else. How the eff is that oK??
Jokes on him, because the gross majority of Liz's research so far helped and protected the aliens, most recently when she was able to whip up an alien bio-agent for the bomb at the fair so that Max et co wouldn't be branded as terrorists. But no biggie. Next time he needs something like that, hope they can whip that up with whatever's at the local CVS.
IRL, makes sense. In the world of the show, Liz cured a rare disease with little more than some basic lab equipment and a couple of late nights. So in the show construct, curing world disease given decent resources and time, was much more than a 'limited possibility'.