I find physical menus much easier to search personally - I can "time slice" switching my attention around different parts of the menu fairly easily and home in on which I might want.

It's clear how much menu there is to sort through. If I want to pick something for someone else (e.g. my daughter), there's clear sign posting to what's available.

Often the digital menus I get linked to are either just a PDF of the paper menu (in which case, I'm viewing it at phone window size rather than full A4) or it's a website with nesting in different ways, so you're not sure if you've seen everything or not.