Gaining faction favor?

In reading here (and as an old BGS fan) it would appear that the path to high paying missions is having a high rep with a faction.
Favor is curried by by doing missions, turning in bounties, exploration data, etc at a station under control of your desired faction.

My question is this: If a faction controls two stations does it matter WHICH station I turn things into? I would think not (that I would still benefit in rep at either station) but thought I would doublecheck if anyone has true knowledge on the matter.
 
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