It would be nice to be able to setup a seperate e-mail addresses that get's informed of updates. This way a webmaster can set this up to him/herself instead of the client receiving the e-mails. There should also be an option to choose if the e-mail is besides the owner or only send to that e-mail address.
This is a Wordpress issue, not an Enhance issue
In Plesk e-mails regarding updates are sent to the client, not wordpress admin. So not sure why this would be an WordPress issue.
Enhance does not send these emails to you. They are generated by Wordpress and sent to you from there. You can change this behaviour, in Wordpress, not Enhance.