any infiltration of air influence the carburation.
I don’t understand what part is the air hose. If it is the big tube attacched to the air box filter this shouldn’t make that much difference.
To me it seems you have a problem with the carburator iddle circuit.
Check the iddle jet.
First you have to make it sure that is not dirty.
If it is ok than try the iddle air screw open it 1/4 and see what you have. If the result is an improvement you can turn it a little more up to where it is ok. If it get worse put it back at the original position and close it 1/4. If it is better, this is the direction to go and you can turn it 1/8 more until you get it right.