Probably if solid-state "cap-rolling" or "transformer-rolling" was as easy as tube rolling (maybe it is for the more advanced DIYer) we'd hear just as much about it too. Maybe the choice of tube plays a more significant part in the overall sound than SS caps or transformers etc.
You can do some of the same things to solid state amps. You can change out the resistors and caps in the signal path. You can also play with the amount feedback applied. Changing the power supply caps and installing a new bridge rectifier is also relatively easy in SS gear. Last (but not certainly least) you can install bypass caps on the power supply caps in SS gear.
Each one of these items will 'change' the sound of the amplifier. Some slightly, some dramatically. The amount of change will vary based on the quality of the parts and their particular sonic signature.
Trouble is with solid state gear, schematics are usually well guarded. Traces on the board can be difficult to follow making reverse engineering for the novice, difficult at best.
Tube gear is usually extremely simple. Often times it has point to point wiring making replacement of parts very simple. More often than not tube gear follows established designs that have been around (in some cases) for nearly 100 years. Sure, there are variations on a theme but the vast majority of tube amps harken back to either the simple SET or Push Pull design.
Since the vacuum tube is (obviously) part of the circuit, each one has its own sonic signature. Often times the tubes electronic characteristics (ie 12AX7) vary between manufacturers. SInce the characteristics are slightly different, this too makes each tube sound slightly different when placed into a particular circuit. One of the other factors is the actual design of the tube, the plates, the grid, the filiment and the envelope are all slightly different between manufacturers lending themselves to a 'different' sound.
In the end, you are probably right. A good segment of the SS guys aren't into DIY. They generally have a fear of it. Tubes scare them even more because of their tweaky nature which pushes the SS guy even further away. SS in very general terms is more reliable than tubes. In the same vane, I've got a couple of tube amps from the early and mid 50's that I haven't done anything to other than swap tubes and they still sound great.
When it comes to transparency, I really believe the reason tubes sound better is because of the simplity of the circuit. Although I've seen some really simple SS circuits, I've not listened to one so I could be all wet.