Yes, and I should mention that my Logitech C922 camera CAN give a good picture but you need a ton of light.
Oh also, the more powerful computer will definitely help.
OBS can be demanding on hardware.

OBS pretty much revolutionized recording/broadcast. Most of the content creators we see today wouldn't exist without it.
It's like the software version of The Video Toaster which was built with the Amiga computer in the late 80's early 90's, but those cost over $10 grand and that was considered cheap if you were a TV station or a studio with an actual budget.

If you capture your camera(s) & audio into OBS Studio you shouldn't have any sync issues.
My issue was recording video(and audio just for lining up) on the GoPro with it's SD card. Because I couldn't find a way to get the GoPro's video onto my computer. There is a complicated way, but I've never attempted it.
Newer models may make that easier.

The way most people with a budget do video today is with a decent Canon/Sony/Nikon etc that also records video. And in THAT scenario you need a piece of hardware with a HDMI input, or a capture card.
Although there may be some models with a USB capable of video streaming.