No, states dance with free software to make the vendors they came to the ball with jealous, not because they intend to take homely ol’ free software home when the music stops.
It’s actively against their interests to adopt open source standards in a multipolar world where the literal easiest and most common supply chain attack is against open source repos.
You wouldn’t want the eu to be the new shepherds of android anyway, they’d just be another giant power trying to control how development goes. Those same giant powers are all busy putting different kinds of age verification in their systems.
E: also the eus digital sovereignty braying is an attempt to remain relevant to the us, not a serious policy direction. It’s much more “better treat us nicer or we’ll cut you out of our tech buying pipeline” as opposed to “we are creating a real fourth pole in cyber power”.