A hybrid head typically displays minimal differences in swapping tubes. I can't say for sure if the Shuttle will have a noticealbe change or not.
If you aren't used to tubes, I suggest you just keep spending some time with the head to determine if you like it or not. Tubes are indeed a different world. Still, I find that the Shuttle can do a very clean tone, although it's definitely a "tube" clean. It won't sound as clean as an SS design, but it will have stuff "going on" inside the notes. People who love this refer to it often as warmth, and they even describe it as "smooth". People who don't like it call it tend to describe it as grit, which to me is a bit disengenious as grit is more of a light distortion that occurs as you push the gain.
On every Genz head I've owned (1200, Neo-pak, Shuttle 6.0), the grit starts kicking in when the red input clip starts flashing a bit. This is a VERY cool feature as it gives you a bit of indication on what's going on with the tube. Backing off just a bit at this point will clean up the tone and provide you with the buttery tone that is typical of a hybrid design. I suggest you do that, and if after time you still don't care for it, then it's back to SS heads.
Also, IMO, doing constant A/B comparisons with a SS head will prolong your acclimation to the tube tone. I would suggest your forget about what your LMII sounds like and what it does, along with any other head you have. Just see if the Shuttle works for you after a few gigs. You may find that you like it, and that you learn to appreciate the differences between the LMII and the Shuttle. More generally, you'll grow to appreciate the differences in tube designs and find very specific applications for them. I LOVE my Shuttle for finger funk, Tower of Power, old school Earth, Wind, Fire, Kool and the Gang, etc. It works much better than an SS/FET design to me. When I play modern gospel, I want FET punch and growl. That's not to say I'm not happy switching roles there, but I do find the differences contribute to the genres in a way that pleases me, which is what is most important.