AWT wasn't native either - it just had one ugly appearance and couldn't be themed. I seem to recall it kind of resembled Sun's CDE (Common Desktop Environment) so it would have look sort of at home on Solaris.
AWT uses native widgets.
AWT isn't native, it uses peers.
The fact that Swing ended up being such a massive failure was in good parts due to the fact that Swing is built on top of AWT.