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No, it doesn't.   getting it started on a prime allows the fuel pump time to pick up fuel and fill the carb bowl. 

But, it started when primed and ran good. That alone eliminates your theory. 

By the way, they have Castrol GTX 20w50 for $19.32 for a 5 qt bottle at walmart, which is about what mine takes.  So, not bad.

They parked in the barn !!!!