I'm sorry! It's just getting late...
I just know about a student pilot of LFT crashing(fatal) during a solo flight max. two years or so ago. Was it always the case that no solos were allowed at all by LFT at GY? Not flying solo at least once and doing training on shiny new citation jets sounds a bit paradox to me?!
Doing t/g's solo helped me a lot during my vfr flight training and if the FTO provides strict minima and procedures to be sticked to it's no big deal. Proper qualification has to be insured before by an internal check flight with instructor anyway, dont you think?
just my 2 cents...