Yeah you have a point.Don't wait, when I say I mean it max you will be spending 500$ ,500$ is a decent amount to expedite your application, may or may not work but worth a try from what I can see they are incentivizing upfront so why not using it.
Again may or may not work
When I got my ADR they just asked for updated PoF and police certificate, so naturally I thought my medicals must be good then.
But I've seen other people get two separate ADRs (couple months apart from each other) so that's probably not how it works.