01 outback 3.0 no injector pulse but will run on starting fluid

You have wasted a lot of money buying stuff that is not needed.
Check the pulses from the crank shaft sensor.

Do you have spark and fuel pressure? Check the inertia switch? You might try a spray of starting fluid. If it tries to start you would know that the engine has spark, but the injectors could be working without fuel pressure and starting fluid would show you it is a fuel pressure problem if the engine fires with starting fluid.

Do you have fuel injector pulse? Try spraying starting fluid into the engine air intake, if it starts you have no injector pulse and thus no fuel delivery to the cylinders.

Is that static pressure with key on, engine off? Or engine running pressure? Both should be near 60, usually key on, engine off pressure will be about 3 or 4 psi higher.
If it runs good after starting, the injector pulse must be good. No reason why starting and running pulse should be different. Only difference is when running, fuel pump power is kept on by the oil pressure switch, whereas in starting, the fuel pump relay keeps the pump on. Very unusual, let us know. Measure voltage at one of the injector's power wire with key on. It should be battery voltage or very close.

The basic story here is you have fuel pressure at the injectors but not going thru the injectors.
So the next question would be, do you have voltage on one side of the injectors and a ground pulse on the other side from the computer ?

I had a W150 4x4 for over 15 years. One time the truck wouldn't start, the MAP sensor went on the blink. I unplugged the vacuum line from it and plugged the hose with a pencil. The truck started and ran, but would run rich.

Another time, the fuel injectors had to be replaced. I tested that by spraying starting fluid into the throttle body. The truck would run as long as the fluid was provided. The fuel pressure was fine so it wasn't the pump or the filter. I replaced both injectors and the problem was corrected.

My truck had an old fashion way of checking the equivalent of today's DTC codes. If you turn your key to ACC 3 times, the check engine light would flash 5 long pulses and 5 short (55) to signify that a reading of the trouble code was in progress. Then if there was a code, example (34), there would be 3 long pulses followed by 4 short pulses of the check engine light. At the conclusion of the test, (55) would pulse again. Then you look up what ALARM 34 is. ( I had a service manual from Dodge)

Is there an injector pulse going to the injector?(an electrical pulse to fire the injector).
Is there spark at the plugs?
If the pickup in the dist is faulty you won't have either one.
If your vehicle uses a crank pickup with or instead of dist pick up....if it is defective ....no pulse.
The above is 90% cause of no pulse....other is computer problem 10%.
If you do have a injector pulse and no spray.....and have fuel pressure....change the injector.
A quick check for spark is spray a little starting fluid in it.....if it starts on the fluid....spark is present.

Fuel pump, you have to have press in the rail to fire all injectors- she will run on ether but not good for her. Ck your pump and any related fuses,relays,wiring.

It sounds like the (iac valve) idle air controle valve. When its running unplug it and if the truck shuts off replace the iac. it runs about $50 to $60

if it runs on starting fluid its a fuel problem.. check fuel pressure even if its a couple of pounds off, the vehicle will not run. but using starting fluid may give you the extra poundage you need to make it run . also check vacuum hose at pressure regulator on fuel rail