Poor reasearch on your part then because it runs UP TO 720p with 540p being the lowest number in docked mode and it's running at sub 720p a lot of the time.
Portable mode is 440p up to 540p.
On the other hand PS4 is always 1080p which is 4 times 540p and it runs on mix of medium and high details while Switch is on the lowest preset.
And I did adress battery life. Ampere 50 series GPU will provide similar battery life to regular Switch.
Why again should I believe you?