My 5W30 dino response was part of a 'change very often' recommendation. If you're unable to cure the dilution and frequent OCIs are your only choice, a strong dino 5W30 would be much more cost effective. (ie. GTX) I confused why you think a dino 5W30 would result in lower fuel economy than the xW40 and xW50 synthetics that you originally stated you wanted to run. At any rate, I wouldn't fear any API SM group III dino oil if you were changing frequently. That's all I meant. There's an UOA in the forum from Castrol GTX in a 90s 740 that was not a short OCI and the results were still excellent.
You wouldn't need to replace your injectors. There are shops that rebuild them for quite reasonable rates. I've done it on previous vehicles, even where I regularly used cleaners like Techron or Redline, and it still made quite a difference. If you have a failed O-ring or something like that Techron isn't going to fix it. The rebuilder will generally send you back a sheet with flow rate and spray pattern results before and after. I can't remember the cost per injector but it was a no-brainer if you have a second vehicle to use to drop them off and can afford a day of downtime. They will replace all of the O-rings, clean with solvent, and replace the on-injector filter which clogs up over time. You'd also find out if you had one leaking down after engine shutdown and putting fuel into your oil.
My 1998 M52 is Dinan stage 3 chipped. I'm running RL MTL in the transmission, RL 75W90 in the rear end, GC in the engine, FP60 in the fuel. I'm used to obsessing over my cars but as it ages "cost effective" is becoming a personal struggle to start to let things go
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I'd look into the temp sensors, actually. You might find something there. If you have access to service information it might contain a test (voltage/resistance reading of X for temperature Y) that you could use to test it. Make sure you're not using the gauge, or the cooling fan sensor, but the ECU mixture one. Not sure if you're OBD2 or OBD1 in 1995 but a scantool might be able to read the sensor input and fuel trims as well. I haven't wrenched on an M50TU (yet)
Cheers.