I know you're not getting the answer you wanted to hear, but take our word for it, trying to make your Beacon Ray an LED rotator will be dimmer overall and will also make it look like a clown truck to any fire apparatus buff. If you want more light, do like Maxim did in 1957 and mount some fixed red sealed beam lights on the front fenders. LED's have their place but this isn't one of them.
There are lots of ways to add power to a period correct vintage apparatus. You make a good point about fender lights. Large stationary flashing sealed beams are actually pretty bright by today's standards. Also McDermott still makes (or sells?) a very accurate flasher (the
TG Series). I'd rather go a little overboard on the number of period correct lights than alter them. Don't get me wrong, you can make a clown car with too many period correct lights too, but it isn't as glaring as adding LEDs in a rotating beacon.
I could see is replacing something stationary under fluted lenses that you otherwise cannot source the parts with LEDs. For example the internal 360 and stationary
PAR 46 strobes of a Whelen 8000 bar could be replaced with LEDs set to double flash. The fluting on the domes is so heavy and the lack of rotation would conceal the dirty secret well. I also used S360 model strobes (they use the same optic spreader) inside an 8000 bar I did for a restoration car. I used the remote version of the light and a strobe supply that was double flash. It was pretty much impossible to tell it apart from a later model factory 8000 without pulling the domes.
There are always ways to update a vintage vehicle and stay looking sharp, I just think the specific example of replacing rotating
PAR 36s lamps with LEDs is going to get a resounding "please don't" pretty much all the time from enthusiasts. Heck, I don't even like LED 888 lights and LED rotorays on new vehicles let alone restorations, and those are factory designed.