Well, it turned to be deployment/configuration issue.
For some reason ServerName property on "Configuration Manager" tab had full connection string instead of actual server name.
Someone or something overrode this property after...

In my case connection string is overridden in Management Studio on package level (Integration Services Catalog -> Right click on deployed project and Configure)
What type of authentication do you...

It seems that i have similar issue.
Everything works on several environments, but i get the same error on another env:

"An Error occurred while setting the value of...