You're confused, who's making that claim? It's certainly not me. I like the stuff.

I still wouldn't recommend blowing smoke (or vapor) in the path of kids or pregnant women.
If for no more reason than I prefer to avoid kicks to the nads... especially well deserved ones.
The other link you presented is a 3000 word, overly emotional screed by CASAA. Basically a smack down to a CDC subdivision for conflating vaping and smokeless tobacco use in proposed workplace safety regulation guidelines. Meh.
The single "study" link within however, is of use.
http://www.biomedcentral.com/1471-2458/14/18
While this is a
dense 20,000 word technical document, commissioned and funded by CASAA, the tone (such that I scanned) appears neutral and concerned with finding of fact rather than propaganda. Yay.
It's not an entirely clean bill of health, but the concerns center around the unprecedented quantities of PG and VG consumed more than the chemistry of properly produced e-liquids (they address the dodgy wrong glycol samples of a few years ago). There are open questions regarding not nic, but some of it's associated tobacco plant extracts. Again... detected levels are
very low and not considered to be harmful.
It's conclusions do recommend further studies, it's from 2014, and I agree. But nothing pops out to make me go screaming into the night.
And pretty much
none of it is widely known, which leads antis to view vaping just like smoking which, I believe... brings us back to the OP.