What does the "legacy connector" refer to? Do you mean the receive and send connectors?
In the coexistence environment, we don't have to create additionally connectors. The mail flow works with default connectors. If needed, you just have to create new send connectors on Exchange 2016, and remove them from Exchange 2010.
Based on your description, you may worry about the client connectivity. When Exchange 2010 coexists with Exchange 2016, if you use the same FQDN for virtual directory URLs, and point to Exchange 2016, Exchange 2016 can proxy the request to Exchange 2010 CAS server for mailboxes on Exchange 2010.
Additionally, for Exchange 2010 mailboxes, internal Outlook clients using RPC/TCP connectivity, and it no longer exists for Exchange 2016 mailboxes. Exchange 2016 mailboxes use Outlook Anywhere (RPC/HTTP) or MAPI/HTTP for Outlook client side. If you have CAS array, Exchange 2010 mailboxes still connect to the CAS array endpoint, and make sure the FQDN used for CAS array points is not the same for URLs on Exchange 2016.
You can check these for more details about the client connectivity: Client Connectivity in an Exchange 2016 Coexistence Environment with Exchange 2010.