I'm a little confused. Having done some Shotokan a long time in the past, one of the most important components of kata were the timmings. We'd learn a kata to some kind of count to get the moves correct but when actually performing the kata we were expected to demonstrate some form of timming. To some extent this was taught but there was also some component of individualism to it. When a class were performing a kata to 'their own time' then we would not all be expected to be choriographed and looking at everone next to us, but instead were expected to focus on our own kata. The timmings a person would adapt for a kata would be one of the important things in assesing the kata both at gradings and in competition.
Now I've not been doing GKR for long but from what I've experienced, the katas are performed 'to your own count' (as opposed to 'your own time') and very much plod along in a monotonic manner. Everyone is expected to 'stay together' and finish together, which means the slower students are expected to try to keep up and the faster ones are told to slow down. This involves a lot of peering around and makes it very difficult to really focus on the kata or to make it flow.
I only raise this point because I have recently been picked up on this when I made the mistake of focussing on my kata instead of keeping in time with the guy next to me.

... I've not been to any competitions yet but are katas performed with more timming here? Do the katas have a timming/rythm in GKR? How can I learn this?
I should point out I'm not having a go at GKR at all (I think its great

) but if I'm doing kata to the 'wrong' timming then I would like to change it to the right (in terms of GKR) timming. I'm just not to keen on changing it to having no timming. Does 'timming have one or two m's?. Too late now....
Hope someone knows what I'm trying to say and can help