There's three things to note there: it's not Lidl itself, but the parent company doing this, and the plans were announced late last year. Also they're building out the infrastructure for internal use first and are not necessarily looking to offer a cloud to customers, though they may work with select other companies.
EDIT: I was able to load the original source just now and it claims that following an acquisition they were now offering/planning to offer this service to other retailers. I cannot find other sources (particular German ones) supporting this claim. The blog of the allegedly acquired company speaks of a "strategic partnership" and "investment" only [2].
EDIT 2: This [3] is the German source that the link on this post refers to. Unfortunately it's paywalled. The abstract claims that the acquisition is a "building block in building out their Cloud business".
[1] https://translate.googleusercontent.com/translate_c?depth=1&...
[2] https://camao.one/blog/partnerschaft-schwarz-gruppe-heilbron...
[3] https://www.lebensmittelzeitung.net/tech-logistik/Lidl-und-K...