It usually detects it but we cannot show its icon, real name and description (only the plugin slug).

We collect this information from the WordPress plugin repository but it only contains free plugins. Paid plugins are not listed in a central place where we query their metadata.

That seems to be a limitation based on what the OP noted:

"we do a lookup in the official WordPress theme/plugin repository"

So many popular themes and plugins, especially paid ones, won't show up...because they aren't in that repo.