Somewhat, as the Baxandall tone stack is present and working and with the tube preamp there is a tube feel to the amp with a warm response from the power amp section.
What needs to be understood is about 75 to 95% of what we associate as the tone of a B-15 amp is the speaker cabinet. If you take the B-15 head and run it through another cabinet the head sounds like any other tube bass head. If you run another low-wattage head back through the fliptop cabinet, it will sound more like a B-15.
So if you are familiar with how a B-15 head sounds through any other cabinet other than a flip top then yes, it does sound like a tube B-15, somewhat.
Again I say somewhat because also this is 800 watts I believe as the B-15, depending on model, is 25-30 watts. So that also will change the perception of it. But it could just be me.
Hopefully my observation doesn't confuse the issue.