So, I finally have my Bookerly font!
I did the full hack - and then had to use the "handle the browser fonts" part as well, as it didn't work initially. Turns out my book was KF8/azw3 so that was why it wasn't happy.
So I wonder if this is why the Calibre Collections way didn't work? Probably....
If I ever decide to try the CC way again, after a factory reset for example, I will try using a mobi file.
Bookerly is a bit elongated on the K4 compared to on the Oasis, but it still looks reaaally nice. K4 left, Oasis 2 right (obviously).
Now to read!