Sorry to bring this post up from the dead, but I thought my question might be fitting. I recently ordered a stripped lower for my ar build. By the time my appointment came with HPD to register, I had already built out the lower. Noticed that they put "rifle receiver" as the classification. I'm assuming this is because I had a stock installed.
My question is, I have another stripped lower coming in, and wanted to explore the option of building a pistol in the future. Legally of course, with a fixed magazine and/or no gas block. I've talked to my FFL and he told me that he registers it as simply "receiver" with no designation., but does note that he does designate semi-auto. When I go down to HPD to register, can I mention that it should be registered as a receiver only, and not a rifle receiver? Thanks

As long as the serial number is registered with HPD, the classification is normally no big deal. Whether HPD registers as "Rifle receiver". "Pistol Receiver" or "Receiver Only" is not as important as which box the FFL checks. That's the official classification. HPD should make sure they match that, and YOU need to make sure your ATF and HPD forms don't have "rifle" if you want to build a pistol. If your ATF paperwork says "Long Gun" or "Rifle", you can't technically build it as a pistol without creating a Short Barrel Rifle (illegal in HI).
If, however, the receiver is registered as a pistol, you can legally replace the pistol upper with a rifle upper. The general advice it to not install the rifle stock to the receiver with the pistol upper attached. Remove the pistol upper, install the stock, and attach the rifle upper.
The FFL can check one or more of 3 boxes on the 4473: Handgun, Long Gun and/or Other (includes receiver). If they only check the third box, you should be able to have it registered as "Receiver only", giving you the flexibility to choose later what to build it as. if they check that box and Long Gun, too, then you're stuck with building a rifle, and the HPD forms should say "Rifle receiver".