Please confirm that you took the emulsifier out and cleaned it with carb cleaner, ensuring that all of the tiny radial holes were completely clear, and you verified that the idle jet (directly below the vertical screw near the idle speed screw) was clear by blowing air through it and probing through it with a 0.3 mm wire. Does the engine idle well? It should be as smooth as a pushrod Honda, which means about as smooth as a car engine. The progression as you gradually increase speed from idle must also be rather smooth, though not at car engine standard.
The compression pressure can vary a bit from engine to engine, because of the decompressor. The decompressor is using a bit of stamped tin to bump the exhaust valve momentarily in the second half of the compression stroke, and you can't expect to get really tight tolerance on the exact moment when the valve closes again, using that kind of mechanism. The original workshop manual for the first of the OHV Honda engines (the GXV120, in 1983) gave two specifications for compression pressure. One was just the same as the test you have just done: test the engine in its standard condition, ready to run except for the spark plug being removed. The second test was with the decompressor disabled, and of course it gave double the pressure, 140-odd PSI. However that test was dropped from later workshop manuals.
If you can clarify those carburetor issues, we can either absolve the carburetor of guilt, or focus on it.
