Starting problem when engine is hot

The most likely cause of this would be fuel pressure. Let's start with checking fuel pressure when this is acting up.

Also, how long does it take before it starts normally? Do you have to wait until it completely cools down before it will start quickly again? Meaning once it is hot, it will long crank every time until it is cooled down?

Lastly when this is happening, can you cycle the key 3-4 times without cranking the engine leaving it in the on position for about 3 seconds each cycle, then crank the engine. Does it start like normal or does it long crank again?

You mean cycling the key a number of times is not causing it to start normally? If that is the case, it may not be the pump but it could be a leaking injector that only acts up when it is hot.

We can confirm this with checking the fuel pressure. Let me know if you can do this when it is hot. Thanks

Can you get two things? First, we need the fuel pressure when this is long cranking?

Second, can you get a video of how long it takes when this is hot? Thanks