Serious question: Do you need the non-techy explanation?
I'm happy they say this.. now i'd like some sort of proof :-)
Poor UX is my point of this
blah blah...We take your privacy very seriously...blah blah...
[1] Technically, we use bcrypt with a random salt.
Security is hard. Describing security is even harder.
I'm for transparency in security for review, but you can achieve the same via a 3rd party audit.
Just my 2c.