Annoyingly, the Black Finger has a "double life"--some of them sound super warm and tubey, and others sound clinically clean. It's a total random crap shoot which one you'll get.
Also FWIW the "FET" transistors in the White Finger are meant to emulate tube tone, just like how the VT Bass uses solid state components to emulate tube tone, and in fact the WF doesn't sound all
that different from the BF.
And, some tube pedals aren't all that tubey sounding. So in general you're better off asking "which pedal will give me a fat warm tubey tone", rather than choosing a pedal just because it contains a tube.
And one more thing: everybody interprets the words "tubey" and "warm" differently, so be mindful of that when reading posts (including mine). For example a person with refined tastes and a high-end listening environment may hear one pedal and report that it has a "rich tube warmth"; while another person may not hear that subtlety, it might not be
nearly as colored of a signal as they expected/wanted.
If the BF is cheap, then grab it just to try it out for yourself, it will be a good learning experience, and you may luck out and get one that sounds like you hoped. If it's not cheap, then just know they are on Ebay all day, every day.