@rbmusica Yes, the issue still exists (not sure why @cormip says it is possible now?)
I don’t think that Site Kit will have an update which allows to select custom user roles besides standard WP roles, so my solution was installing the pugin “User Role Editor” and add a 2nd role to user xy. By setting 2x roles (e.g. WooCommerce “Shop Manager” plus normal “Contributor”), these users have normal access to Site Kit statistics – just needs to be selected in Site Kit dashboard sharing options first.
Hope that helps if anyone else is facing this issue!
Okay thanks for the fast reply. I found a solution by installing the plugin “Members” which allows to set more than one user role per user. So if I share the Site Kit dashboard additionally with the role “contributor” and set the desired user as 1. Shop-Manager and 2. Contributor, the statistics are now visible. This topic can be closed, thanks!