I know it's more of a joke, but some people might think this might actually happen. Here is why not:
The Schwarz Group (Lidl's parent, as well as Kaufland's parent) is the largest privately held company in Germany and the largest retailer in the EU. While it's not owned by the Schwarz brothers anymore, as they have died, they transferred their ownership into a "non-profit" "charitable" foundation upon death. The foundation itself is in turn controlled by other foundations, which are then controlled by a mix of family members and hired trustees. Selling this is virtually impossible, as everybody would have to agree.
While Schwarz is small compared to Amazon (~143 billion USD vs ~470 billion USD in 2021 revenue), they aren't exactly a lightweight either. Look what "tiny" twitter (barely over 1 billion USD in revenue) is gonna cost a Musk...
Maybe at some point Schwarz might sell off just the cloud stuff. But if it's gonna be profitable they are unlikely to. And it's likely profitable or close to it from day one, as they already did most the hard work to support their internal IT needs. And they are a big name brand around here, known to do things "right" in their space (unlike e.g. Telekom/T-Systems) and a lot of German and European players have been looking at GDPR-compliant EU-based alternatives to AWS for quite a while.