No, pressure after the pump up to the regulator should be 13PSI (or whatever the pump is capable of pushing, plus regulator "setting"). There is nothing wrong with measuring where you are. As a matter of fact, on my TPI setup, I decided to measure before and after the fuel filter to see if there was any drop across the 10 year old filter. There wasn't FYI.
The entire system is "tuned" for that 9-13PSI spec. The ECM is assuming the injectors are being presented with 13PSI (I believe, it's got to be something between 9 and 13), so it calculates how long an injector needs to be open based on how much fuel the injector can flow at a specific PSI. If you bump the PSI up beyond what the ECM thinks the injector is actually getting, under closed loop conditions this is not an issue...the O2 will see rich, and dial back the injector pulsewidth to get the mixture to where it needs to be.
But under open loop conditions (acceleration, cold engine, idle if programmed that way) then the engine will simply run rich. It's ignoring the O2 sensor, and the injectors are adding too much fuel (again because the ECM calculates the injectors need to be open X time, as the PSI is coded as spec'd by GM). This is definitely a rabbit hole, but this is why using fuel pressure adjustment alone can be problematic. Upper spec is 13PSI. The coding in the ECM is certainly not calculating based on some higher number. So if it won't run at 13PSI without issue, there IS something else going on. I mean it could be as simple as a mis-calibrated fuel pressure gauge, which could mean nothing is wrong. If it solved the problem and you see no adverse affects, it really doesn't matter lol.