And yet Bluetooth 5 claims 'up to' 240 meters.

I wouldn't base a national franchise's business on what BT 5.0's 'up to' states, but it's not impossible that they would rely on at least 50 meters working. I can think of very few gas stations that have a separation from pump to cashier of more than that and most of them are truck stops.

Nothing is stopping you from using a high gain antenna though (well, other than regulations, but if you're stealing has you presumably don't care about FCC violations...)

Originally you were talking about bluetooth being there for the cashier to work the pumps, now you're talking about what the thief is doing, which are two different things.

I probably wasn't clear... I meant perhaps they connected a bluetooth mouse or something to a cashier's computer and gave themselves free gas.

I didn't get that at all, but that's an interesting idea. I'm not sure how the rest would work, you would have to see the screen.

With a keyboard I guess you could use a sequence to pop up certain windows and run certain commands.