Correct on the place for pressure testing.
Even 7 PSI is plenty for leak testing, I haven't found it necessary to check for pop off pressure. However, to vacuum test the impulse side, the fuel inlet needs to be blocked/clamped off first, or it will definitely leak through it. Just enough vacuum to be present is enough as long as it holds. What this tests is the flapper valves on the fuel pump diaphragm. If they deform, they can't hold the fuel back like they are supposed to. I can say from prior testing, this will cause a run issue when it fails. Also, this isn't something we dreamed up, I found it in one of Husqvarna's repair manuals for one of the 5 series, which for those folks out there who are interested, can be downloaded for free from HLSupply. This will give you the straight dope and not lead you astray like the internet videos and social media posts can do.
Some examples...
If I can do a small rant while I'm at it, there isn't anything on an autotune carburetor that can't be corrected as any other carburetor would be. In other words, when a 5 series isn't running right, a computer download isn't going to correct the problem inside the carburetor for you. You're going to have to get your hands dirty.
That felt so good I'll go on to rant 2. On older 562 and 550 type saws with the older style metering diaphragms in them, do not cut the inlet lever spring short to try and let the carb supply fuel again, replace the crispy old diaphragm with a new one. This will restore proper fuel delivery throughout the rpm range and eliminate any bogging etc. happening. Newer saws have the spiral diaphragm in them, which took care of the problem.
Best of luck
@Yellowking86 getting your saw running right again. Hang in there, you'll get it.