> I find the order is up to the extensions' name, not the install order.
Then that's how it is now. This behavior is not regulated, so it may change in the future. I thought it's the installation order because webRequest works like this.
Since it's impossible to change the name of an extension from the web store you'll have to make a local copy of it e.g. by using
https://robwu.nl/crxviewer, unpack it, remove _metadata folder, edit manifest.json, then load as an unpacked extension. You'll have to repeat the same when updating it to a new version.