I don't think counting makes that much difference....at least not in my experience.

I routinely practice SSILD where counting the time in the cycles is considered to be a mistake. I find that counting helps me to stay focused as long as I am not focusing on the counting. I always count and I have had great success that way.

As I mentioned about subsequent awakenings, I think setting a very strong intent is one good way to create them. It may take some time to create that neural pathway but it will definitely happen if you are diligent.