Wayne it sounds like your powerburst pre-spray could have been augmented with an oxidiser, which may well have helped out. It needs to be nice and hot to work best, and when you get to a stain just splatter it until the stain is drenched. I always give it a little rub with my foot, to help speed things up before agitation.
That's one thing you didn't mention actually, did you agitate? If so how? Carpet tiles in my opinion always need agitation, it is the only way to really loosen up soiling and stains from them.
Got to be honest, since getting my TM I've never before had results as good on carpet tiles. I think the extra heat, flushing and vacuum all working together helps just tip the balance in your favour with a TM.
I worked for 9.5 hours today on a school carpeted all through with tiles, I am totally burgered!
They needed the works - Pre-spray, agitate with rotary, extract with TM & RX-20 then post-spray with anti-bac and bonnet to finish... not forgetting air movers. Still stains wicking up after a few hours, damn carpet tiles i hate them!!