@Jan Vávra You are correct that we are still rolling out 2022 to all instances. You can always try scaling your App Service up to P2v3 as this should force you onto a new instance. Then scale back down to P1v3 and see what type of instance you have been placed on.
Realistically though, the entire stamp is probably running 2016 so I'm not sure you'll see a difference with scaling to force a new instance.
In that case, you can try creating new App Service plans until you receive one with a 2022 instance. From there, redeploy your site.
In regard to timelines as to when 2022 will be on all instances, we do not have anything to share at this time. It is actively being worked on and there should be more to share later this year (check back around the Microsoft Ignite conference).