It would solve several pain points for us if connected mailboxes had mailbox-level options for what types of objects to associate emails to.
One of the connected mailboxes we use is an "invoicing@" address. Our accounting software automatically sends invoices out from that address, so we connected it in HubSpot to see those emails associated with the appropriate customer and contact. However, those emails also automatically associate with related deals.
If we could set an option on that connected mailbox to exclude deals from those automatic associations, that would be ideal for our usage.