I just got the newest Manjaro (rolling release) working with kernel 5.4.x an hour ago. I have a 2019 T2 Macbook Air. Distros with earlier kernels never booted for me. Manjaro (and another I tried with 5.5) both recognized my internal 256gb SSD just fine. Trackpad, keyboard and wifi were recognized but didn't have the correct drivers. I plugged in an external USB mouse which worked great, but keyboard and wifi would have required more fiddling than I was willing to give it (or connecting to the internet with ethernet to download the
drivers, yada yada).
The next Ubuntu is supposed to ship with kernel 5.4 (or 5.5?). Historically, Ubuntu's had the best out-the-box support for the broadcom wifi on my macbook airs and pros. I think I'll just wait for ubuntu 20.04 and hope they clear up the remaining 3 issues out of the box (wifi, mouse, trackpad) though I've read on the above 2016 macbook pro thread and
here that you can get them with download, etc. Either way - it is starting to look promising!
TLDR: Linux on my new MBA2019 never booted for me before, with 5.4 it's booting and everything is working except wifi, keyboard, trackpad, but that may just be a Manjaro issue and from my understanding is no longer a T2 issue. I didn't install it, but think that's possible as the SSD was recognized fine. Promising!