96 Jeep grand cherokee warm start / idle / throttle response issues

Hey everyone! My father is having an issue with his 96 jeep grand cherokee with the 5.2 V8 where when it warms up it becomes increasingly difficult, almost impossible to keep running without constant throttle being given. It died on him randomly during a snowstorm a few weeks ago and he had to give it a while to cool down before it would run again.
We have been trying to diagnose this issue and have tried several things to address the issue. We changed the idle air control valve, the Crankshaft position sensor, removed the catalytic converter (was bad and you could hear the material moving inside the converter while it was running), changed the MAP sensor, and cleaned the throttle body.
I'm uploading this video in case anyone has had similar issues / recognizes what is wrong and can possibly give us some direction.
Unfortunately the jeep has not been giving us a check engine light so it is difficult to pinpoint where the issue lies. We decided to purchase a fuel pressure test kit and it yielded some interesting results.
Our current theory is that its a fuel delivery issue after seeing the results of this testing.
Apologies for the last clip, not sure what happened but when the video rendered from my software, it seemed to shift the audio about 5 seconds ahead of the video.
Let us know in the comments below if you have any other theories! Appreciate any help in advance!

[@knuckleheadsgarage4627]

For everyone that watched and responded on the Jeep forum that i opened up (www.jeepforum.com/threads/5-2-zj-with-warm-stalling-issues.4457361/#post-41453858), my father and I appreciated all responses and advice given!
After eliminating the bad catalytic converter, replacing the MAP sensor, Crank position sensor, Idle air control valve, fuel pump, fuel injectors, and spark plugs, we finally found the problem. While changing the spark plugs we decided to do a compression test and found that cylinder 1 has ZERO compression (didnt even move the needle on the gauge).
Our next step is to take the valve cover off and see if there is anything obviously wrong underneath it and if all else, replace it with an Ebay cylinder head with valves and springs for 235 bucks when the jeep gets moved into its parked spot for summer and we can afford for the jeep to be down for 6 months while we do a head swap. Until then, he just plans on limping it along as needed with snow (luckily winter is pretty much over in our area).
Thanks again everyone!

[@knuckleheadsgarage4627]

Hello Everyone, am finally able to close the loop out on this problem and hopefully help out anyone else that has this issue in the future. Took off the valve cover and saw a clear issue with cylinder number 1. Noticed that the rocker arm was not centered over the valve and after further inspection saw that the valve spring was completely busted and the valve was stuck in the open position.
After finding this, My father and I went to auto zone and purchased the valve spring compressor tool (OEM TOOLS 25220: www.autozone.com/test-scan-...KxOhf8ju1amw_JDBfdxoCdi8QAvD_BwE&gclsrc=aw.ds )
We purchased the valve that auto zone and a lot of other websites said was the correct spring (www.autozone.com/internal-engine/valve-spring/p/melling-valve-spring-vs-1298/689122_0_0) and this turned out to not be correct for our Jeep. The internal diameter of the spring was too small and the cap that holds the valve keepers would not fit in. We also noticed that every valve in the cylinder head including the broken one had a second spring inside the main spring that had flat coils where this replacement spring did not have that. My father returned the valve spring and purchased a comp cam double valve spring that ended up coming with 3 springs. The large outer spring, the middle "flat coil" spring, and a third smaller spring in the center. We ended up removing the third tiny valve spring, the cap fit a tad looser than the original valve spring (was around 1.5-2 thousandths of an inch larger in diameter) and we were able to use the valve spring compressor tool to re-install. Torqued everything back to spec, started it up and it sounds like a brand new jeep again!
Thank you to all who reach out to answer this problem and help my father and I out with this troublesome issue! Hope this answer helps someone else out in the future!