Alright, I tried this method. It works beautifully!
In fact, I would say this is the single best tweak I've made to my entire system in a LONG time. Now, I don't know how much this improvement comes from the tweak, since I used my spare Telefunken tubes, which I haven't had in the Quickie for months. But, I don't remember them sounding THIS good. Amazing detail and precision. Wow.