Yeah, I mean, (just so other readers are following this), you can work out the behavior, mechanically:
With voltage to the coil, that relay contact should start opening up the circuit, but that's going to cut the power to itself, soon.
But, mechanically there will be delay, as the contact is on a springy metal, which also has helped make good switch contact.
I'd guess 10 or 50 mSec. to pull off so contact is broken. (That's the schmitt-like hysteresis).
So, whatever that time takes, the LED is so much faster, you will get a pulse and the waveform has 6 uSec. duration.
But then we have to wait, a bit, until the relay contact spring brings the contact back. That is, back to connect as the normally closed position it sits in, when un-powered.
Thats some more milliseconds, maybe 100.
I'd suggest, get rid of the oscillating relay, that could be all over the map anyway.
(Can I use the relay from my scooter ? No.)
Use your knife switch, instead of the normally open relay contacts. Then just open it, once.