A Series I doesn't have side LEDs as a standard item, but a Series II does.
The only bass that ever had the "beacon" (I'm calling it that from now on, thank you!) was the Distillate. And while it looked cool, it really just drained the battery a lot with the original opamps, which were low-noise bu high-drain. The newer opamps are both low-noise AND low-drain, so it would be better these days.
I'm guessing that it wouldn't be difficult to have remotely installed, and you're not too far from one of the few repair people that I have personal experience with and can enthusiastically recommend in New York, Evan Gluck. The only issue is exactly how to mount the LED. The Distillate had a kind of conical escutcheon, and we don't think we have any more of these. So we need to see if we can find these again if you liked the original look.