Hi RoJo,
I will try to help you sort out these questions although I only have a dedicated wiring diagram for a BF50D which is fuel injected and is wired much differently.
BUT...
...I believe that the BF50A diagram you have is almost identical to the one I have for my BF20D and I think most of the Hondas were all very similar in wiring before the later fuel injected models. So, just a little disclaimer to consider in case I goof this up....which wouldn't necessarily be so unusual for me :>/
The tilt being powered with ignition off is normal. Whether you have one, two, three or four tilt switches, they will all be fed by the same "hot at all times" circuit. This allows you to operate the tilt while coasting in shallows with engine off or doing other things like trolling or.standing on the ground and prepping for trailering.
Your screen shot doesn't show it but at the bottom center of the page center should be the IGNITION SWITCH legend box. It indicates that BAT terminal voltage (12v) is supplied to the switch via the W/Bl wire.
You are correct that, when the key is in ON, the Bl/Y wire receives power and, in START, the Bl/Y and Bl/W wires will both receive voltage.
I don't know if the 50A has pull start capability like the 20D. If not, then the ignition portion of the circuit will be different but I don't believe that difference would effect our ability to use either diagram to discuss your lighting question.
So...here's my take on.that:
My short answer to your question is that the R/W wire does NOT receive power from the ignition switch. That wire is intended to deliver power from the lighting switch to the gauge bulbs.
The Bl/Y wire DOES get fed by the ignition switch and delivers that power to the instrument gauge indicators as well as to the lighting switch.
Ok, I hope I got it right and, more importantly, didn't confuse you further.
.