It does have a lot to do with it (see post above about engine management). The engine management (lambda-sonde, no idea how you call that in english) will adjust the fuel mixture according to the measured air in the system. Now, this measure includes the air which gets blown off into the atmosphere with a BOV. But because unlike the stock recirc valve, the air is blown into the atmosphere, the measure is now wrong (the blown off air is included in the lambda measurement, but gets blown off instead of "staying in the system"). Results can be damage of your engine/exhaust.
EDIT: Sorry for the double post.