My only thought is, if the seeds are too *wet* they’ll propagate.
I was thinking about that yesterday as I was setting out plants. I've come across many volunteer plants from fruit that was left out last year. I have volunteer watermelon, tomatoes, and squash. I also have a wildflower patch, a marigold patch, and a basil patch that reseed themselves each year. Those seeds get wet all the time but don't germinate until spring. So it's also ground temperature dependent. If the seed tape is stored below germination temperature it wouldn't matter it seems to me.