Doing this is going to pull the center of lateral resistance forward and is going to make the bike more twitchy. If these are the wheels you already own, put a wheel cover on the 404 and the resulting 808/disc will be more stable than the 808/404.
I used to ride with an H3 trispoke front and a wheel cover in the back. Sometimes before a race I'd want to use the H3 but hadn't put my cover on yet and just had a shallow rimmed rear wheel. It didn't take much crosswind for that setup to be sketchy as heck. Put the cover on the rear and the handling improved dramatically.
PS, It would also look silly to have a deeper front than rear.
I used to ride with an H3 trispoke front and a wheel cover in the back. Sometimes before a race I'd want to use the H3 but hadn't put my cover on yet and just had a shallow rimmed rear wheel. It didn't take much crosswind for that setup to be sketchy as heck. Put the cover on the rear and the handling improved dramatically.
PS, It would also look silly to have a deeper front than rear.