When I play (Ok, was playing) I was so knackered that I kind of knew if we were loads ahead, loads behind or it was a bit close. That was the resolution of it, so I empathise with players who don't/can't keep accurate tabs on the score.
I find it easier to keep a running total 5, 7, 10, 15, 20, 23 under the relevant T, C, P, T, T, P columns. Personally I find it easier to add 2, 3 or 5 to the previous score whilst walking back to the centre rather than trying to add 5+2+3+5+5+3 whilst someone is waiting in anticipation... Whatever works for you.