Does an email sent through an ESP show up in the Contact Email tab

If my Google email address is synced with Keap and I send out an email to a contact using an ESP (eg. Constant Contact, MailChimp etc), does it show up in the “Email” tab for that contact?

Pretty sure it wouldn’t. There would need to be a system on the ESP you sent from to notify IS and they just don’t do that without help.