The issue is going to be the distortion structure. Tubes in general favor the lower orders and depending on the amplifier technology can make a lot or a little of the even orders, usually with not a lot above the 5th.
(This is a general statement, for example our amps are fully-differential so there is no even-ordered harmonic at all until you approach clipping.)
Transistors for the most part are absent the lower orders. Instead they favor the odd orders and higher ones at that, usually the 5th, 7th and 9th. Now they do this only in trace amounts, but many tube amps don't make them at all.
The odd orders are heard as brightness and also makes the presentation seem louder.
The lower orders are heard as warmth, bloom, that sort of thing.
So either way you look at it, distortion is what we are trying to get rid of and as far as the tubes/transistor thing goes, its two ways of doing that with a different price. Fortunately topology plays a role too, so its not cut and dried- IMO the variations we see are what make the high end part of the industry so interesting.