I believe your logic might be wrong. If you now have a stock non-adjustable fuel pressure regulator (FPR) and a stock fuel pump, then simply changing the fuel pump from an oem one to a Walbro WILL change the tune. This is because the stock FPR cannot bleed off enough pressure when the Walbro is installed, so your base fuel pressure with a Walbro will be several psi above what the service manual says it should be, and will be delivering more fuel to the injectors than the ECU thinks they are receiving. Your tune would then be off. Now if you currently have an adjustable FPR and a fuel pressure gauge, then maybe you can compensate for this somewhat but the tune would probably still be off after changing the fuel pump component.
Best bet is to have all your fueling components (including the pump, injectors and FPR) decided and in place BEFORE you tune it. If you think you MIGHT need a new fuel pump then I would recommend just do it and give yourself the peace of mind. It's really not that bad a job to drop the tank and swap it out. Then you just tune it once and you're done.
I would suggest as a first step installing a fuel pressure gauge at the fuel filter banjo bolt. Wil's tests sound like a good way to see if you have an aftermarket pump already. Also if you have a way of monitoring the fuel pressure at WOT, then you will see if there is a drop in pressure at high loads. All this can be done without dropping the tank. I have a mechanical gauge on my filter, and also the electronic sender installed there that I wired to my EMS (which transmits all the data via bluetooth to the Digital Logic app on my iPhone). So I can see the fuel pressure inside the car on my iphone, and also see it when it's on the dyno by just looking at the mechanical gauge.
Here's a screen shot from my phone (note the numbers are random because it's not actually paired with the car right now, but you get the idea of what you can monitor - The FUEL PSI is red because the pressure is below what I set for an alarm). I've always thought fuel pressure on a boosted car was right up there in importance. I used to have the AEM digital fuel pressure gauge inside the cabin on my last NSX, this app just makes it easier than having a bunch of gauges in the cabin.