There you go, that’s a good argument that I hadn’t thought of. So I will amend what I said before and say that it is better to leave parts on, till they’re needed.

Some kits, especially big scale kits, have a large number of frets. I use masking tape and a Sharpie to tag each fret. That makes finding the correct fret easy.
When I remove a lot of parts off the sprue, I usually do so only if I have a good handle of what goes where, especially when a lot of parts are unique:

The purpose of which is to address seam lines and such in a mass production fashion. This is how I usually build.
Further along:

Resealable sandwich baggies are helpful to keep related stuff together during construction.
I usually detach the parts. I organize them in plastic fishing tackle boxes. If the identification is questionable, (right vs left) I drop a tiny post-it note in the compartment with the part. Tiny parts like PE assemblies go in a fly box with tiny compartments. I don’t like painting on the sprue because of the required touch-up after. But the most important thing is finding what works for you. There are probably as many approaches as there are members of the forum.
Dave
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That’s a great idea. I should try that on my next model. I guess it doesn’t help to photo the empty sprues.[;)]