“Responsive” sites do not work with that sadly. Something that has always bugged me.
Technically browser would need to report different pixel density or resolution (check what https://www.whatismyscreenresolution.com gives you) to get "desktop looking" site.
Though in reality it's one/same site - so I'm not sure how much would you get with that...
My bank recently did this, they decided that “complex” workflows like seeing how much interest you paid or transferring money wasn’t in their top 10 transactions that were journey mapped. The consultant probably took the fancy post it notes with him.