rifleman did pass the time by typing:
Delays like that sound like thermal or leak current. Dirty connectors can cause similar problems.
Did you pull trouble codes when the lamp didn't light?
There are quite a few relays in the vehicle, apart from a smattering of relays under the dash, the primary center is located in the glovebox. It holds relays for Interior lights, power door locks, horn, power antenna, heated rear window, and the security alarm relay that flashes the lights and beeps the horn.
I'm running out of ideas, short of having a local dealer put a scantool on the system and run a full diagnosis. Most sensor faults are stored but on the 93 there is limited testing ability.
Failure to start can be the camshaft position sensor or the crankshaft position sensor. It can also be the coil. Anything that causes a no-start after a couple of engine cranks will turn off the ASD relay and remove power to the ignition coil. IF you have a test lamp, backprobe the coil wire that runs to the relay center. The lamp should light when you turn the key ON and stay lit while the engine cranks. It will go out if the engine doesn't start after a couple of revs. If it never comes on then there is another issue. (dead sensor/ECU fault) but most of those should be in the diagnositc codes.
One thing you might try though is to clean the ECU connectors. (disconnect the battery + before doing this)
You will have to remove the overflow bottle to gain access to the ECU. in the center of the large connector is a bolt, this has to come out. Turn it out, wiggle the connector, turn it out, wiggle the conector..etc. Don't use this bolt to force the connector on or off, it will crack the ECU! take the bolts out that hold the ECU to the firewall then rinse out the ecu with a plastic safe contact cleaner. Do the same to the connector. A bit of sandpaper on a stick can be used to clean off some of the connectors. Put some dilectric grease (sparkplug boot grease) on the connector before you put it back.
Again, when you put the ECU back. Don't crank on the bolts that hold it down and don't use the connector bolt to suck the connector on. Press, tighen, press tighten, etc.
Also, when cleaning the connector, don't forget to clean the wire side, that's where 90% of the buildup accumulates.