Was is the intention of this template? Similar to the WMF template "OnWikimedia" (see extension cite: https://www.mediawiki.org/wiki/Extension:Cite) it is the intention to give extension pages a marker, that this extension is used in bundles and distributions. So developers get a feedback that their extensions are on "best off" lists. Users get the impression, that this extension is somehow a standard. And the community (including WMF) learns to know which extensions they should keep in mind if they are changing technological structures.
Of course it is also an "advertisement" for BlueSpice, but as explained elsewhere, it does not have to be in the long run. And we have used the template very sparingly for these reasons as well. The previous version should be revised. And because of the current deletion discussion, we have now stopped further distribution.
I find the feedback in the discussion so far very productive. There is the idea to replace this banner with a more general "used by" template that names several distributions, bundles and projects. Maybe even with an RfC in advance.
From that point of view, the deletion would be automatic once the improved template is available.