Can method 1 be done on 5.5.2?
the guide is old, and has not been updated when 5.5.2 was released.
If you understand what the guide is doing, you'd understand that 5.5.2 is working.
This step is essentially "Launch the homebrew launcher" by visiting and URL to trigger the browser exploit. it's now possible to launch homebrew with 5.5.2, so just adapt the guide to launch the homebrew launcher based on your console's version.
Method1 works with 5.5.2, BUT not with the link provided in the guide.
you need to follow the actual "5.5.2 browser exploit" guide/website, instead of the "5.5.1 browser exploit" URL provided in this guide.
it's not hard to find the url for 5.5.2
all the other things are the same, you just need a different URL to visit to trigger the browser exploit to get into the Homebrew Launcher. Once into the Homebrew Launcher, every steps are identical.
And these steps are ONLY if you don't already have Haxchi, CBHC, or any other way to launch the Homebrew launcher.
if you already know how to access the homebrew launcher, just do it your way.