I naturally prefer a slightly higher cadence, rather than grinding a gear. At 6ft-1" I would lean towards longer cranks (175mm currently fitted) but if shorter ones make a difference I'd be willing to give them a try.
I'm 6'5" and run 175mm cranks as I too prefer to spin at a higher cadence (~90rpm). As a warm up, spinning up quickly to get the heart and lungs going makes sense, though I'd have thought a 30 second effort more beneficial than just 6 seconds.
There's a VO2max training session (on the trainer, resistance low) I used to use to help improve general fitness and pedaling efficiency,
45 mins on the trainer.
1 5 min warm up
2 3 min medium pace (~100rpm, 80% max hr)...2 min max effort (+140rpm, ~100% hr) x 3 times (
by the end of 2 mins you just be almost spent)
3 5 min rest (drink something)
4 3 min medium pace (~100rpm, 80% max hr)...2 min max effort (+140rpm, ~100% hr) x 3 times
5 5 min cool down (puke)
We used to run this session towards the end of off session to kick off the pre-race training sessions. For the first few sessions the max effort was only 1 min, coach added more time each session. Plus when I started this type of training I'd start bouncing in the saddle at about 120rpm and after a few weeks I was good/smooth at 160rpm.