I have an E33 that stops running every couple year, and does the blinking headlight trick too...but only when the battery gets low. (I run in conventional though).
The second time it needed a battery, it did it a.few times in a week or so. The very last time, it did not work promptly though. The issue continued even with a new battery.
I've seen very common chips in coin op games "forget" their job for a bit before; removing power for a period was often all that was needed.
So, I just let the E-33 sit unpowered, no battery in it, for 48hrs; then replaced the battery. It ran again and has had no issues since.
Worth a look.
Test 9v's with a load. I forgot and wasted two hours a while back; the battery read 9v on a meter no load. Tested my leds; no problems. Tried to run the whole led array to no avail; so checked each led again. They were fine. Tried the array no dice.
Then I rechecked the voltage. It was now at under 3v.
Just the capacitor charging itself was enough load to drain it from 9v to near nothing, in mere seconds, lol.)