I purchased a VK250SE to replace a Plinius SA 250 MKIV, and before that a Levinson 334. I'm driving that with a krell HTS7.1 and a Krell DVD standard or VPI Aries /koestsu black combo. Speakers are martin logan ReQuests.
I would say that the BAT provides the most musical performance on my setup. Sweet midrange, very spacial, very dynamic. The levinson was overall darker, the Plinius was as dynamic, but not as sweet, certainly closer to the BAT than the levinson.
Gauge that feedback along with these well known impressions - Krell tends to be a forward, and the electrostatics certainly aren't mellow.
If someone has a lean presentation with BAT, something else is causing that... not the amp.