I got transmission switch replaced few weeks ago after having trouble starting for month but I still occasionally have issue and not sure if it is related to switch.I got original Honda switch. Sometimes it will start 5 times in row and sometimes after 2-3 tries,even in neutral it might take few times sometimes.
My coils/valve cover/spark plugs and O2 (bad) sensor needs to be replaced so not sure if any of these could be causing problem.

 

Did anyone replace transmission switch and still have trouble starting car???