It really all depends on your unsubscribe process. The default Marketing Cloud Profile Center page will unsubscribe the person at an All Subscriber level. This means that all emails sent as "Commercial" Send Classification will not go to this person. However, triggered emails usually should have the "Transactional" Send Classification set, with NO unsubscribe link included in the email(since there is no legal requirement to include an unsubscribe link in a transactional email). So basically, if you set all your other triggered emails to transactional Send Classification, all people will receive them no matter their unsubscribe status.