It's my belief (opinion) that it makes no difference at all.
Stray magnetic eddy currents CAN influence parts and wires that lay below the chassis, however the MOST likely outcome of that is uncontrolled oscillation and not a tone enhancing godsend.
Lead dress is your friend in those circumstances, That is to say routing your internal wires in such a way to avoid crosstalk and magnetic interference.
A lot of guitar amp lore comes from the audiophiles and HiFi crowd. When they build an amp the strive to make the circuit as clean and un-distorted as humanly possible. Going to extremes to achieve these results are par for the course.
A guitar amp on the other hand purposefully colors and distorts the incoming signal then feeds in into an often undersized OT and then to a speaker of limited range.
Esoteric changes and nuances of different brand parts no doubt can subtly alter the tone and mojo of a guitar amp. You will have greater, more dramatic result by changing a value of a component than you will by changing brands or materials.
I'm not saying just throw some parts in a box!

A lot of us amp builders do make certain mods that weren't on vintage amps, but they are usually modifications done to improve reliability, reduce hum, or deliberate circuit mods to enhance voicing.
You have to keep in mind, Leo Fender designed some of the finest amps ever and built them out of the cheapest parts he could muster!
You say you are planning to build an amp. a Fender to boot, but what model?
OH!, Welcome to the friendliest forum anywhere on the net. You'll be in great hands here.
Fender used plain old sheet metal for their chassis'
I use 16ga when I build mine, but I like a stiff chassis, especially for 35 watts and up, the transformers get heavy. Smaller amps you could get by with 18ga, but I feel it is kind of flimsy.
Most prefer aluminum. I seem to always use 5052 alloy, It's nice and easy to machine and cut but It has a grain to it so watch how you orient your bends.
It kind of sounds like you want a particular vintage sound, remember if you build it with all new parts, It will sound like that vintage amp did when it was new, and not like it would sound after 30,40 or 50+yrs of play and abuse.
Any how, give us a clue as to what direction you want to go and the guys here would be happy to lead you down a sane path to tooby sweetness.
Ray