iPhone's battery drain with apple watch series 10 face

I recently got an Apple Watch Series 10, and it was functioning well initially. However, after changing to the new Reflections face with four complications, I've noticed my iPhone 13's battery depleting quicker than usual, and it no longer lasts a full day.

I'm curious if there's a connection between the two or what else might be causing the issue. Could the increased refresh rate for the seconds hand be draining the iPhone's battery for some reason?

Thanks