I turn on the lights immediately (5 seconds) after putting the paper in the fixer tray, without seeing any bad effect. I believe that 10 seconds in the stop bath has made the developer totally ineffective.

I am impatient in the darkroom and squeeze time out of the process where ever possible. For example, I leave RC test prints in the developer for only about 45 seconds, then 10 seconds in the stop bath, then 5 seconds in the fixer, then the lights come on. This makes the darkroom process more enjoyable for my impatient personality.

For the keepers, I use fiber paper and everything slows down as can be expected. The final print is developed for 2 minutes, but test strips for only about 1:15 to determine proper exposure. These shortcuts save a lot of time without sacrificing quality.