Jisho.org is a fairly helpful site for finding words like that. Sometimes you have to scroll a bit to find the “loanword” version of a term, but it helps with showing different nuances of translated words when looking them up.
Unfortunately I think it’s EN-JP only, but helpful if you know the English word you want.
I count it as a handheld because every switch can be used as a handheld, while not every switch can be used as a home console.
So I guess why wouldn’t the Switch Lite be counted in those sales? It’s the same device, sans detachable controllers and docking capabilities.
It’s like calling a phone that you can plug into a monitor with peripherals a “desktop”