Sure, though the resource saving ∆ is quite small when adhering to tenet 1 instead of 2. After all, it takes hardly any energy to send a few kibibytes of data across the internet. Even all memes combined use a relatively low amount of energy and storage, since the vast majority of internet traffic is videos and streaming:

In 2022, 65% of all internet traffic came from video sites

https://www.tubefilter.com/2023/01/20/sandvine-video-data-bandwidth-internet-traffic-report-streaming-video-youtube-netflix/

A significantly - in the order of thousands - more efficient way to reduce would be by installing an ad blocker. It prevents web pages from loading several megabytes of tracking JavaScripts and you don't lose any functionality.