It looks like ISRG Root X2 is in Microsoft's Root Program list now!
If you click through the link to the current list that comes from CCADB, both ISRG Root X1 and ISRG Root X2 are in the list.
I don't know what the timeframe is between it appearing in that list and showing up in automatic updates or however the certificates get distributed to the various Microsoft platforms, though.
Microsoft says: "The Microsoft Trusted Root Certificate Program releases changes to our Root Store on a monthly cadence, except for December." However, that's written on an aka.ms page (ie it should be linking to current material) with a list of updates and yet it was issued once in February and has never been updated since. So it may be reasonable to take with a grain of salt the "commitment" from Microsoft to obey this policy.
I find that MS continues to be extremely lazy and won't show the ISRG Root X2 cert in the trusted store until it has been accessed (at least in my case, directly).
I simply opened the cert and it then immediately showed in the trusted store (without any install). https://crt.sh/?d=69729B8E15A86EFC177A57AFB7171DFC64ADD28C2FCA8CF1507E34453CCB1470
OK, I think I understand you now.
I think that any new certs must now be avoiding the soon to be expiring DST Root CA X3.
But your browser may still show it (while it is still valid).
I haven't seen any kind of "publicy visible inclusion process" for most root programs (well, except Mozilla). If there is I would like to know as well.
Root X2 seems to have been included in the Microsoft and Google root programs at some point recently. Can't say exactly when for lack of transparency in their processes.
Microsoft including ISRG Root X2 has been reported already:
About Google:
That's a bit complicated, because there is no uniform "Google Root Program". There are various trust stores used on their products, for example the trust store used on Android. Censys lists "Google CT" under trust, which are the certificates accepted by their CT log backends. The latter seems to include ISRG Root X2 now, yes. I imagine that these trust stores are run independently by independent departments.
There's a root program run by Google, the Chrome Root Program. But that is still in development and little is known about it.