A few thoughts from a BAT and Aesthetix user: I prefer the BAT non-SE equipment because you can roll tubes. Perhaps Sidssp's experience of BAT gear seeming more like transister gear comes from using the SE versions. With the BAT VK31 I put in Amperex bugle boys and was quite pleased--a good platform for NOS tubes. With the VK75 I put in a couple of CBS Zylicron (sp?) from Upscale Audio, which had a nice warming effect.
I have an Aesthetix Rhea phonostage and, frankly, I don't like it. It uses Sovtex tubes, and I think that is the problem. I'm looking to do some tube rolling in it, but in reading the reports on Audiogon, it sounds like a rather complex undertaking. But, we'll see.
Granted, I'm comparing apples and oranges somewhat here, but out of the box, I preferred that BAT gear to the Rhea. Yet tube rolling can change everything...as those more experienced than I can attest to in more detail.