ok, correction. The Mac card I have is a 5770. and I also have a 7970 non-mac card. I don't know what you mean buy installing os without the patch. When I start it up it just seems like the video card a(any other than 5770 mac card isn't there) the fans just spin slowly. I tried using hdmi to a non thunderbolt monitor from 6800 and nothing.
OCLP basically has two main parts. OpenCore and the Root Patcher.
When you run the root patcher, it will patch the system files according to your hardware.
e.g. In Monterey, if you install the OS with 5770. Since 5770 isn't a supported GPU, the root patcher will patch the system files to make the 5770 works. However, it also means the system files now can only work with that particular GPU. This is why you should not swap GPU after root patching.
For Ventura or Sonoma, due to the cMP has no AVX2, root patching is required no matter which GPU you install. Therefore, the GPU type is always locked.
Therefore, whenever you use OCLP, you should install the OS with the GPU that you want to actually use.
Or for Monterey, you may only use OCLP to install OpenCore for you, but do not run the root patcher. So that, you can keep the flexibility for you to swap graphic card.