That doesn't make sense. Widgets are memory and battery hogs.
Do you know which drains the battery most? Yes, the screen.
If you have widgets on your screen you can check things quickly as you do when using widgets. When you dont have widgets, you need to open the app at first, then check things. Then you open a second app and so on..Hence you use more screen time and that literally means you use more battery. When widgets use tiny amount of the battery, it is meaningless compaired to a draining caused by a screen.
SO... Widgets actually save your battery... and your time.