Some websites do offer you the option to go to their regular website when a ‘mobile device’ has been detected and they have sent you to the shrunken version. I’ve seen that option on my tablet a few times and depending on what I’m looking at I’ll usually opt for the full-size site since the tablet presents that pretty well. On a phone it might be tough to view the regular site properly but it shouldn’t hurt to give you the option. It’s just a link they can provide easily, that overrides the mobile version.