With the type of transmitter Shearwater (and several others) uses, there is not really "pairing". The transmitter has no clue about anything outside itself. I.e. it does not know anything about any computer that is receiving data from it - or if there is even a computer listening to it. The computer is set to listen for that particular serial number (of that transmitter) and that's it.
As long as the computer doesn't lose/forget that serial number (of the transmitter), then it will always "hear" the transmissions from that transmitter and show you the corresponding tank pressure. Unless something breaks, of course. E.g. the AI antenna in the Tern breaks, or something.
The only way the "pairing" should ever be lost is if the computer undergoes a total factory reset. Or you manually change or delete the serial number in the Tern, of course.
Very cool that it got you more interested. It is REALLY good to be very aware of how much faster off-gassing occurs in that last 10 - 15 feet of your ascent, versus all the prior ascent time.
But, just for the record, if you're on the bottom for just about any amount of time, then there is off-gassing happening from the moment you start up. It just happens a lot more slowly (in much simplified terms) when the tissue pressure is really close to the ambient pressure.
Off-gassing happens more rapidly as the difference in pressure between where you "were" and where you "are" gets bigger. If you go from 60' to 55', very little off-gassing happens. I.e. it is slow. That is because ambient pressure only changed from 2.82 ATA to 2.67 ATA. That's roughly a 5% decrease. If you go from 15' to 10', then it's 1.45 ATA to 1.30. Roughly a 10% decrease.
And when you go from 10' to the surface, that is 1.30 to 1.0 - a 23% decrease! Off-gassing happens SO much more quickly in that last 10'!