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Did you remove the View from the template because I don't see it when I look at a profile.
In any case, I looked at that View and I spotted a couple of issues.
1. see the screenshot. This would prevent the View from finding the profile post of the current user if the user was looking at their own profile. I unchecked the option since it is not needed.
2. Where you inserted the second view you need to be careful with quotation marks.
The single quotes used in the wpv-post-taxonomy shortcodes break how the wpvsesso and wpvcerco shortcodes are inserted, which need different quotes, e.g.
So, I think I have solved the "issue", but I don't close the thread because I think there are other issues...
So, in the View there was a Query Filter only for Published Profile CPT post... and My Profile CPT post, where the View take the value, was in Draft mode, and than I have "no Items found" message. Now I have set the Query fiter to "any".
And for all Profile CPT posts I have set again the "Modello di contenuto per Singoli Profili CPT" Content template.
When, for My Profile page, remain the "Modello di contenuto per Mio Profilo" Content Template.