Protected CPT cannot be accessed by Zapier with admin user

I'm using Membership 2 pro on my mulitsite. With Zapier I often automate stuff like publishing new Wordpress posts to social media.
Unfortunately I discovered that Zapier is unable to access the CPT I want if I protect this CPT with Membership 2 Pro plugin.
The weird thing is that with Zapier I use a super admin account to access the posts. The super admins should be able to access protected content, right?
I tried to make my zapier admin user a member to give him access but this is prevented by the plugin.
I'm not sure if this is an issue to be solved by Zapier or by WPMU DEV. But you guys are usually much more competent :wink: