In my estimation, yes...provided you are working within its max input voltage ratings.
"Hum" really has little or nothing to do with an input signal....right? You don't get hum when you hit the guitar really hard or play a particular note. Hum is produced for the most part by AC getting into signal wires. And it is constant; The AC might come from the heater string, in which case we would expect 60 Hz hum. Sometimes, the power supply itself (or a wire running too close to it) produces the hum and that generally produces 120 Hz hum with a full wave or a full-wave bridge rectifier...an octave higher than 60 Hz hum. The two are not that easy to distinguish but I believe there is YouTube you can search for titled something like "60 Hz vs 120 Hz hum".
Hum *might* occur with *anything* plugged into the amp and disappear when you yank the input plug; in most amps, removal of the input plug shorts the hot terminal of the input jack to ground. This, if it is the case, gives an immediate clue that your issue is in or at the very first preamp stage. Whatever that stage does is amplified the most of anything in the amp, so anything wrong there gets magnified, a lot.
Hum can also occur in a perfectly working amp *especially* if it is upside down and open, out of the cabinet, under fluorescent lights, or if you are in a room with old noisy dimmers. Or if the cabinet you built doesn't have a shield covering the open side of the chassis. If that's the case, you can spend an eternity chasing down the hum inside the amp and you'll never find it because it isn't there. Just saying.
Hum can occur with bad filter caps. With your scope, provided it can handle the B+ volts inside the amp, you should be able to read AC ripple on the power supply nodes and/or on the preamp tube plates. Be careful of the reveb driver tube, that tube has the highest of the high B+ volts on it. On Fenders, these nodes are the "A", "B", and "C" points on the power supply. You should be able with NO input signal to read AC on any tube plates and that number should be very very low. Luck is kind of in your favor here because you test the lower-voltage preamp tubes before wandering over to the power section.
Hum can occur with a heater-to-cathode short in a tube. These are very rare but they do happen. The only way to prove that is the issue is to substitute tubes. You can swap any of the 12A_7 tubes with any other for this test.
Hum can happen if a signal wire is running too close the a heater wire. AC radiates. We twist the heater wires not just to keep them together, but to reduce the amount of radiation coming from them.
In general, you search for and try to isolate hum by pulling one of the small tubes after another. If you start with the PI tube, pull it, and the hum stops, your hum is absolutely in the PI or the power section which suggest a bad e-cap. If that does not do it, go to the preamp side of the amp and start pulling tubes one at a time. The one that kills your hum either IS the source of the hum or is AFTER the source of the hum.
And finally, the particular way you have increased gain and opened up the feedback loop definitely opens up possibilities in terms of having a wire that was going *somewhere* (and thus creating an impedance or load for some part of the circuit) now connected ONLY to the back of a switch and thus acting like an antenna. Where is that switch? Wherever it is, physically in the chassis, it now can act as an AC field receiver and can send that induced AC to someplace the amp does not like. Maybe you need to place a high-value resistor or a very small cap across that switch so that instead of "opening up" the feedback loop you are "defeating" the feedback effect by 90%. Maybe you need to run shielded wire to that switch.
I can only throw out ideas, the usual, and the bizarre. Some hum problems can be very difficult to chase down and some layout choices can make it almost impossible. That's why among the grizzled veterans on this forum there is an enormous preference towards using proven layouts and doing things quite the way Leo did, with only some improvements here and there. Because without even asking, I know that the two dozen or so folks who have built multiple amps have built amps they could never get the hum out of and they either ripped them apart or rebuilt them using known-good configs.