Okay, I've been told to add to this thread by twitter support to have more data for them to gather to try and solve this, I guess.
I'm also having the same issue as the OP, things I have tried below
I've checked and made sure all my Graphics Drivers were fully up to date.
Fresh Re-Install of Origin and Apex Legends.
"repair game" button twice.
Trying to load into the game with all graphics settings set to low.
Reverting every single skin to "default" , this includes weapons, legends, and even charms.
Checking *and updating* windows update from yesterday.
I ran a Microsoft System File Checker, to repair missing or corrupted system files, which came back as everything normal.
I ran Windows Safety Scanner to try and identify any other problems that could be linked to windows or files on my PC, again, everything came back as normal.
I use an NVIDIA GTX 1080 and an i7-6700k.
I am still having this issue and have just figured I would wait to see if the next Origin update will either revert or fix whatever happened during the auto update that went through.
Hope this is enough for you to get data from or something, I don't know. Hopefully y'all can sort this out soon.