@EA_BlueberryAh, my bad on the C Drive thing, thank you for taking a look.
It was fully because the final troubleshooting steps I took prior to the dxdiag were to set my pagefile to different values, and I tested at many points, ending at using the entirety of my space as virtual memory. It did not resolve the crashes at any point.
Should have undone that before the dxdiag, my apologies.
I can confirm I have tried the steps listed. As for the graphics settings, I've tried all the available options and [most] possible combinations of them. Always played with only Apex Legends open, no shadowplay nor geforce experience nor discord. Only Origin minimized to taskbar, and Apex itself. EasyAntiCheat was already configured to Restart The Service.
I'm not getting the crashes anymore, only because I installed Windows 10 dualboot and switch to w10 only to play Apex. Issue only happens on Windows 7 and out-of-date builds for W8.1/W10.
I'm just posting here still to facilitate the process, since it caused me a headache and a half before playing on Windows 10.
Edit: Just saw the latest page. Thank you very much for the transparency, I appreciate you letting us know that you've forwarded our results!
Also want to mention that I'd be happy to boot to Windows 7 and provide a dxdiag without my pagefile filling my C drive like my last one had. This didn't affect the issue at any value from none to max, but if it's needed I can.