Can we record at same settings as we stream ?

Hello, everyone !
I'm really new with console, (My last one was a PS2), and I'm confusing about somethings:

I'm able to stream at 720p@60FPS, but I can't find any kind of recording configuration when it comes to FPS/Resolution.
I thought that, if I can stream at a certain settings so I'm able to record at the same.

But when I recorded a gameplay it is at 720p@30fps.
Is there a way to change settings?
I searched everyone and can't find anything...