Would I need anything to keep front wheel stable on the Elite Crono Fluid Elastogel Turbo Trainer?
Does the front wheel just remainin position?
Essentially yes although more to level the bike out than for stability.
The biggest issue is that the back wheel is held quite far off the ground so you are in a real head-down position if you don't buy a riser block.
I bought the Cycleops Power Climbing Block (it is much bigger than you realise) which does the job perfectly. Look up a review of the trainer on youtube...the guy uses the same Cycleops block as I do.