Quite sure Asuka never did, her mother however..
ch 221: "I Want You as My Wife"
While Asuka often tease him about such things, she never asked or told him to be her wife..
Probably because she's trying too hard to hide that she likes him and avoid even joking about such things, like plenty of morons do irl.
(In my opinion it just makes it more obvious when you unnaturally avoid specific bits in teasing/jokes and/or whatever else you do.)