So, is it possible to take a pipe you’ve dedicated to VA for example and repurpose it for English? Does a thorough cleaning do the trick, or is there just something about the blends that stay with the pipe?
You can change from a Virginia pipe to an English pipe just by smoking English in it.
Going the other direction can take a lot more work because of the ghosting properties of Latakia and other highly aromatic types of leaves. I've neutralized a lot of pipes and it starts with a prolonged cleaning that sucks out as much of the oils that have seeped into the wood as possible.
This starts with a standard deep clean, paring all build up back to the wood using glass papers, picks, pipe cleaners, Q-tips and whatever other cleaning techniques you know to be safe for a tobacco pipe. Then I'll barely moisten a fluffy and insert it in the shank airway, hanging the pipe shank down, until the fluffy has thoroughly dried, which pulls out some more oils from the wood. I'll repeat this four or five times, which usually removes the ghost. If it doesn't, then treatment with a boiling alcohol retort does the trick.
If there's a faint remnant of that ghost, smoking a half dozen bowls of your current favorite should cover it.
Smokers who really want to enjoy the flavors of a specific blend dedicate a specific pipe to that specific blend. By smoking only that one blend in that one pipe the pipe is seasoned with the blend's flavors and supports further enjoyment of that blend. No cross talk.
I'm too lazy. Cleaning dozens of pipes a week is way too much work for me, given that the internals of my pipes are kept scrupulously clean.