In the middle game this is probably because the moves immediately after the first are often captures that aren't reduced anyway. I didn't try many endgame positions yet, perhaps it does make a difference there.
What are the experiences of others with this?
I also get the impression from my (albeit limited) testing that the positive effect of LMR (either after the first legal move or later) becomes less and less at longer time controls. Could it be that bullet and blitz tests are somewhat misleading and that the effect becomes zero or even negative at long time controls? Sort of diminishing return?
