Welcome to the Forum and good choice of car!
Ok, this is how I would tackle it.....
1. Vacuum / Air Leaks (very common on TSI engines)At idle, the ECU relies heavily on vacuum readings. Even a small vacuum leak can cause a lean misfire on one cylinder.
Since it’s isolated to cyl 2, it could be:
- Intake manifold gasket around cyl 2.
- Injector seat/seal not sealing perfectly.
-A hairline crack in the intake runner near cyl 2.
Check: Spray brake cleaner/carb cleaner or use propane around the intake area near cyl 2 while idling. If the idle changes, you’ve found a leak. Smoke testing the intake system is the best method.
2. PCV Valve / Breather SystemYou’re right to suspect this they’re notorious on these cars. A failed PCV can cause unstable idle and lean misfires.
The dipstick test isn’t always conclusive. A failing diaphragm may act up only under certain conditions.
Check: Pull the oil cap at idle if it hisses strongly or the idle drastically changes, the PCV is bad. Honestly, for the cost, replacing it is worth it as preventative maintenance.
3. Carbon Buildup on Intake ValvesDirect-injected engines like the EA888 are notorious for carbon buildup. Even if compression is good, sticky valves can cause poor air/fuel mixing at low airflows. Walnut blasting is the gold standard, but if you want DIY alternatives:
- Intake valve cleaning sprays (not as effective but can help).
- Manual scrubbing with brushes/picks when manifold is off.
If cyl 2 valves are more coked up than the others, it would explain a misfire only on that cylinder.
4. Fuel Rail / Wiring / ECU DriverLess common, but worth mentioning since you swapped injectors: The wiring harness to injector 2 could have an intermittent fault. The ECU’s injector driver (rare, but possible) could be weak on cyl 2.
Check: Swap injectors again but also swap the wiring connectors between cylinders (with adapters if needed) if the misfire moves, it’s wiring/ECU, not the injector itself.
Also do a continuity test on the wiring from injector plug to ECU.
5. Camshaft / Timing / ValvetrainSince it clears up with throttle, it’s less likely, but sometimes worn cam lobes or lifters can cause low-speed misfires.
Would typically show as uneven compression or ticking, but since you say compression is fine, this is lower on the list. OR if you have the chain engine (If you have the R or the Edition 35, its belt not chain) you could have "chain strech" or worn chain guides.
Have a watch of this video
https://youtu.be/L5EvMjoeMvU?si=h4lA7o7qgPjItM3eI had the same issue on my R32 years ago, I changed all 6 plugs, all 6 coil packs and in the end, it was a split in a vac hose 
