I think you're right about being wrong.

Sorta.
From the attached diagram showing where to insert the preamp signal to the GA-5, we see 2 suggested points. The first point is at the location of a ground reference resistor (shown as 220k on that diagram, but really a 470k on the Schedule 40).
You
did not insert your signal there, although it might appear to you as if you had. Instead, you unhooked the 5.6k grid stopper resistor, and attached the cable hot directly to the EL84 grid.
That's
no bueno. The function of the 5.6k grid stopper is to prevent oscillation in the EL84 due to long grid wires. In a practical build, you keep this wire as short and direct as practical/possible, and then add the grid stopper to knock down any oscillation that may occur despite your efforts. Long grid wires act as an antenna for RF, and possibly other signals. When you disconnected the 5.6k resistor (and, consequently the 470k grid reference), you made your EL84's grid wiring extremely long. That all but guaranteed oscillation.
Next up... I know the stereo preamp will present an impedance to ground, so you don't
technically need a ground reference resistor (the 470k in the Schedule 40). However, had you back up your connection point from the actual EL84 grid to the junction of the (likely wire to the) 5.6k resistor and the 470k resistor, you would have kept a local ground reference (the 470k) and utilize the grid stopper to effectively shorten the length of the grid wiring.
In fact, the real way to wire this up would be to use a switching jack (as used for most input jacks). The tip would connect to the junction of the 470k resistor and the 5.6k resistor (or wire leading to the 5.6k), while the switched lug would connect to the output of the stock Schedule 40 preamp (the wire that normally connects where you're inserting the stereo preamp). Naturally, the ground goes to the ground buss.
You might solve some of the overdrive issue (if there was one aside from the oscillation) simply by fixing how you insert the preamp signal. The 470k ground reference resistor will be in parallel with a part of the output pot from the stereo preamp, and will likely reduce signal level slightly.