Question / Help Multiple OBS sessions while using a capture card?

I am moving up to a two PC streaming setup right now, I dont want to use NDI because it will still impact performance on my gaming PC slightly, the gaming PC side of NDI will drop frames in games that use 100% of my GPU's 3D engine (ex. Apex Legends, Rainbow 6 Seige). For my purposes I will need to have one OBS session open to streaming with my streaming profile and overlays and my second OBS session open to my recording profile without overlays. I was wondering if I use a capture card if i could use the video capture of the one capture card to my two OBS sessions?

Capture cards I'm researching:
Elgato HD60 Pro
AverMedia Live Gamer HD 2
 
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