Currently, Service Titan uses the "Bill To" name of a given client to label any chat under that client.
It seems painfully obvious when stated out loud, but it seems much more appropriate to refer to the "Contact Name" associated with the mobile phone number to which you are messaging.
For context; my company has many different contacts under a handful of clients (multiple job locations for each client). Although we're messaging with separate individuals in several different threads, we only see the name of the company at the top of the chat and in the list of chat conversations. The only circumstance for which the current labelling configuration makes sense is if you only used chat to communicate with the billed-to contact (for billing?).
