Get an oil pressure test kit, the only way to know if the pressure is really off and by how much. If it's after 30-40 min that's when the oil has really warmed up so I'd say it's genuinely got low oil pressure.
If you've checked the balance shaft ends aren't wiggling and nothing else seems wrong it could be the oil squirters (aka oil spray jets) under the pistons, on higher mileage/less maintained cars this happens. Mine failed at 125k miles with poor service history.
I actually made a DIY on this a while back, here's my post:
https://www.mk5golfgti.co.uk/forum/index.php/topic,133731.0.htmlCome back when you've got the 80 degree oil temp pressure numbers, at Idle RPM, 2000RPM and 3000RPM. I'll be able to help you more with that info.
EDIT: Almost forgot but there's another two things I don't think you've checked. If you disassemble the pump rotor you can check if it has any internal scratches or grooves that could leak pressure. And there's the Pressure Release Valve in the pump too, but this one's much harder to check. WASA Motor mention in a blog post
https://wasamotor.com/2020/05/tfsi-2-0-ea113-oil-pressure-part-3/. They also sell their own fix, but it's a lot of DIY work so you might as well replace the pump at that stage. I just gambled that it was the oil squirters and I got lucky so I didn't touch the PRV.