cholentkugelkishke:
A rav is responsible for the spiritual well being of his Kehillah (Congregation). If he does not want people attending a certain venue, it should be within his perogative to withhold his hechsher. Another Rav who does not mind can step in and offer his Hechsher. That includes (SJS) if the Rav does not want his Kehillah by a specific Pizza shop, he should say so & withhold his Hechsher if he feels that’s the correct approach.
In short, the store does not have the inherent “right” to a Hechsher just because the food is kosher. It should be up to the Rav (or agency) to place their stamp of approval, dependent on their own criteria. The fact that a store has no hechsher (or is rejected for a particular Hechsher) does not mean the food is not kosher, but may be for external reasons (politics, other halachic issues, trustworthyness of the owner, etc.). We, as the consumer, have the right to either follow or trust our judgement regarding the “Kosherness” of the store in question; We also have no right to force a Rav to give a “Hechsher” to a venue that he feels should not be attended.