In looking at your first example, it looks like axios is loaded twice. Once is with the legacy script that is no longer used in mods since last year. Unfortunately there is no way around that other than to rewrite the older mod to not have that dependency. None of the verified mods have this any more (since last September). We can take a look at your legacy mod if you want – it is usually a very straightforward switch, but we didn’t want to mess with mods that were in use.
For the second two times, it is the same file being redirected (302) and then downloaded. This happens because the URL is for the “latest” version, which redirects to the actual latest url.
In your second example, are you loading it into an iframe? If so the browser will need to download new dependencies. If on the same page, the browser will cache the same file no matter how many times it’s requested.