In my humble experience,
many most guitars have all kinds of hum and buzz, particularly the more elaborate winding-ed and wired ones
I would go so far as to say that unless special attention is paid to 'super simple' and 'quality parts and wiring' it's hard to get clean buzz free recording ... and get to that 'promised land' of quiet, expressive 'tone-vana' [guitar recording wise]
*and* if at all humane-ly possible, as heavy the shielding as possible .. installed
I mean adhesive copper foil tape liberally applied in
every cavity Several layers with attention to making sure they all are grounded ... as well as fully braided and even foil internal shield for the signal wire etc with mucho heavy guage copper wire grounding .. etc. A full metal 'jack shell' [a la vintage LPC s ] is a plus too imho 8)
335s can be especially
crappy challenging ;D For example! my own '335 style' is a re-worked gib 'Lucille' 1989 model .. a very average '335' in most respects at the best of times ... the best thing about it was the case [lol], luxuriant, furry pink and with heavy duty tolex brown exterior .. it priced a lot more than it's worth, out of the box ... but at the time it was my first overseas posting with some deductable expenses to burn.
A complete electrical re-works [by me] and a good luthier/finisher [a friend] and some replacement gib parts turned it into a proper 'stereo 345 recording beast' and worthy of the gib legacy.
Until I mastered the basic 'dark art' of quiet elec-gtr wiring, I did my gib Lucille mods with emg pups - at least then it was completely silent. One could say it was a bit lifeless with the actives, however ... Same for the gib lpc. Same for me, really.
After I got my 'thing' together (20 years later), and with many more 're-wires' under my belt and with many more 'pickup types' etc , I restored the elecs to original [on all my gits] and this 'gib Lucille 345' finally reached it's potential as the 'top of the heap'.
Just in time for an extended closet rest
It's no dis-service to say that it's the notes not played and not heard which can be the most ephemeral and memorable. Or not.
...
Same thing with my strat, lpc, rick bass, thinline tele, jazzmaster [a real well known hum-er] and so on.
The eyes still water when I hear my 'quiet' strat - incredibly without hum/hiss and such, and the 'strat' fidelity - well it's to die for .... [dimarzio virtual vintage (passive) strat set with stock wiring]. I use it alot into a jensen DI box then onto my 'chain'.
It took years to find a proper heavy-duty '5 way selector' switch, but I did find a well-machined heavy duty and quiet one for the princely sum of around 17aud per.
The stock fender '5 way selector' by comparison .. sucked, flimsy with crap contacts prone to dirt and crackling .. partial switch-overs all the time, both electrical *and* mechanical .. phew a real stinker in every sense.
And the stock jack was always intermittant .... especially if 'played with' ... I did a proper us switchcraft replace, and no probs again in that area.
..
Anyway - good luck with it all. A 'quiet' elec guitar is a rare find in my experience! [as is one that tunes up well and stays there]
Even with all the 'measures' in place, it still pays to 'play the git away from radiation sources'. At least while recording.
Then, of course, there is another whole story (discourse) regarding 'mains power' and what not.
Lots of 'grist for the mill' there too.
My idea of heaven would be to have my own full time guitar tech, luthier, diy audio builder, recording assistant and grounds-keeper - all in one - plus a faraday shielded battery powered studio.
painted in yellow.