I partly agree with shooter. On one hand, I have an SE amp that works with multiple tube types, and I've enjoyed trying different ones to get my preferred tone.
On the other hand, my amp doesn't really have features to accommodate different tubes... it's built for a 6V6, and when using larger tubes, I run them cold and with a high (7k) impedance. In theory, 5k and higher current is "better" for larger tubes. I miss out on potential power running big tubes this way, but it sounds great. FWIW an old 6CA7 is my favorite tube in this amp. 6V6s have a noticeable amount of excess treble. 6L6s are a bit too dark.
I was not expecting tube selection to matter because I'm not overdriving the output (high-gain preamp and master volume). I think part of this is the lack of NFB on my SE output (and many SE circuits), since it can't be applied to the PI like it is in most PP amps (including Marshalls). If you wanted to get this in check, I think you could apply NFB to the powertube cathode. I haven't minded this variability since I found a tube that I liked, but I didn't plan/expect the poweramp would color the sound so much.
On that note, I'm not sure if there is a "real" Marshall style SE stage... they are all pretty simple/similar, they sound like Champs and other well-liked SE amps, but they don't sound like PP amps. Feedback to the cathode is definitely one opportunity to change things up.
In my experience if you want to bias 6V6s conservatively, you need a lot more cathode resistance than the 470ohm used in Champs. Once you find the right ballpark for your preferences/voltage, you can ditch pots/test points and use a simple switch to change the cathode resistance to suit a 6V6 or 6L6.