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You should avoid using barbed fittings, especially on fuel lines. Barbed fittings tend to contaminate the hose, this can be a bad situation on your Rotax motor since there is not a filter between the pump and carburetors. As usual you should check your float bowls for contamination for the first 10-15 hours after replacing any fuel hoses. As far as if you can use worm drive clamps on Aeroquip 601 hose, no you cannot. Aeroquip 601 hose is designed to be used with 816 fittings. The best option for your Rotax motor is to use Super-Flex hose, clamped with Band-It clamps and covered with firesleeve.
The Aeroquip 601-3 is the closest size to the Stratoflex 156-3.
Yes, this hose and fitting combination can be used in certified aircraft.
This would be use the 816-3 fitting.