Re: So, is the tilt-up position ok for 4-strokes?
Yes, the tilted-up position should be OK. It's preferable, but not required, to swivel the motor so the correct side (shifter side) is up.
The question about tilt on any 4-stroke has to do with motor oil leaking past the rings into the combustion chamber. If that happens, you get liquid lock (and the recoil will appear jammed). To clear that condition, pull the plug(s), and cycle the recoil to purge the oil, then reinstall the plugs, top up the oil, start, and running will burn out the oil residue.
It would appear that your problem is not liquid lock. More than likely, it's some stuff in the small passages in the carb, causing a lean condition, which you can mask by applying partial choke. This typically is caused by poor quality fuel, or sitting too long without draining the gas from the carb. The fix for that is to remove the carb, completely disassemble it, and thoroughly clean it (then reassemble and reinstall it). Not a bad idea to scrap that gas and get fresh.