So you are basing your decision on a doubt?
Yes, the stock regulator draws 4.68 ish watts. (12.8v/35Ω= 0.366 A , 0.366A x12.8v = 4.68W)
Who has actually measured a solid state regulator operating draw?
So then, I will doubt a solid state regulator is much better, (even if it is). It takes power to run solid state components and it still has to have a voltage divider or reference V on which to base charge state decisions upon.
Btw, just one instrument bulb uses 3 watts. If your charging system works (or not) based on the existence of one instrument bulb, an electronic regulator isn't going to solve the problem, imo.
Cheers,