Interlining question

Hi,

I have a question about the interlining mechanics between different airlines, that may not have a direct agreement but could still generate connection traffic based on an interlining with a 3rd party.

For example:

I have an airline in the US and no interlining with any US based competitor. Now, I want to introduce flights to Europe and I'm looking for a partner there. Lets say the European airline will sign an interlining with me but they also have an interlining agreements with a competitor at my hub. 

Will I unintentionally provide transfer passengers to my competitor because he and the European airline have an active IL and my flight could function as a bridge between those two networks?

Thanks

Yes the bridge would be in place but I hardly see any pax booking those routes because of the 2.5 distance rule.