Please read up on competences of institutions before directing blame, everyone.
The EU has exclusive power in customs, openness of the internal market, monetary policy, internal commercial policy and some selected international treaties.
Member states are furthermore prevented from interfering from EU regulation - if it exists - in some areas of agriculture, environment and consumer protection, transport and energy and meta directives in legal fairness and security.
There is no competency for regulating health, that is solely member state responsibility.
Regulation of digital markets needs to attach to these powers, and so is derived mostly from a need to protect competition and internal markets.
Only thing EU did afaik, was EU covid certificates, which I'm eternally grateful for.
Just imagine going from Geany to France would require to get your German vaccination certificate recognised by the French first, as one example.
"Travel within the EU" would have been "possible" and "pain free" if the various governments had just not imposed any travel restrictions in the first place.
Just imagine going from A to B without having to show a useless certificate.
Iām not aware of any COVID measures that was bought in solely via powers the EU has. I assume that would take far too long, as every new directive from the EU needs to implemented by each member state separately.
Apart from closing bars and restaurants etc what sort of full control did the EU impose?