The trip computer will probably work with the GSA tank and sender though the fuel strip will fail (they always do). The issues are likely to be the range remaining values will be wrong so you are likely to have it screaming for more fuel once the tank is more than 2/3 empty. Later bikes with a float gauge don't show any fuel level until the tank is 1/2 empty then they count down normally. At some point the fuel pump duty cycle will power up as it does on the fuel strip bikes.
My bike now has no fuel strip and an entirely separate fuel gauge. The OEM fuel gauge and fuel range remaining don't work, but they've not worked since the fuel strip packed up so no real loss. MPG works fine and the trip along with the fuel gauge keep me running.
The low fuel warning triangle can be spoofed with resistors (search advrider.com for details). It might even be possible to construct a resistor bridge that allows my 10 to 180 Ohm gauge to drive the OEM fuel management system. I would need a working fuel strip (to measure the resistance values) to find out if that's possible.
When the tank is full, the fuel pump controller runs the pump on low power (wide mark/space ratio). When the tank reaches about 1/3 remaining the controller switched the pump to high power (close mark/space ratio or maybe even continuous running). This reduces were and tear on the pump but as levels drop maintains enough flow to suck fuel from the tank right hand side to the left.