It seems some HN commenters have a preference for sharing links to https://archive.is as a way of avoiding Javascript obfuscation of text (so-called "paywalls").The text being obfuscated is public, available to anyone, not only to subscribers. It is not password-protected. The website developer using the "paywall" technique simply tries to annoy the user into subscribing by obfuscating the text using Javascript. This only works if the user runs Javascript from the website. Popular browsers, most of them funded by advertising, run arbitrary Javascript by default, however Javascript can be disabled by by anyone by simply changing default settings. Most users do not change default settings. Most users use the same small number of popular browsers.
When we refrain from running Javascript and accessing image links automatically, the web becomes more readable and less annoying. We can choose a browser that is simpler than the popular ones and does fewer things automatically without user input, e.g., running Javascript and loading images.
They already have the same information in http logs. Whatever the reason is for this request, it's nothing sneaky or covert.
They hardly need to do that to track ips, its probably just easier.