My experience indicates the relationship between the carb CL and the tank CL has always been very important for proper engine operation. And yes I would move the tank. Some can get the engine to run but the settings are always more difficult when the carb tank relationship is incorrect. Rather than trying to adjust around a known bad circumstance I find adjustment to be much easier when starting with the tank at the correct height.

Four stroke engines do not seem to be as critical as two strokes.

Bill