I thought the article was properly funny, actually (contrary to popular opinion, many Germans have a fine sense of humour). The writer seems converted to both cups (though she can't find a sensible name for them in German), and pants, even though they have the drawback of the embarrassing "what's in the parcel?" when you collect them from customs. I've never seen the "soft tampon" before, but I wouldn't try them after that review!
I think the picture is probably a bit out-of-context tasteless given FAZ is supposed to be a "serious" broadsheet type rather than a screaming red top, but that tweet from YuliAppCom is an overreaction (and indeed, was the thing I thought you were cross about!).