As someone who's worked in the sector (the crypto sector, not the crime one):

"Families of Mathematics" is a marketing statement, or "hot air" as I prefer to call it. The information content of that statement is zero, what it's doing is trying to project warm "you can trust us" feelings.

A statement aimed at technical people would read more like "we use AES-256-OFB with Axolotl on Curve25519 and scrypt(2^14, 8, 1)" or something like that.

To a crypto professional, I'd say any "trust us" statement that's not backed up by technical information actually lowers their trust in the system - it makes you wonder why they're not making their algorithm choice public.