Everything said here should also apply to Custom Objects.

Ability to have multiple company object names and conditional objects depending on user type.

Yes we would like to have “company” be co-signers on a deal Core Platform

or change "company" to "account" and have better relationship management between different contacts, companies & accounts.

Example: Relation to Account Owner status

Yes need to change "companies" to "properties" for real estate industry. The name should be dynamic. Core Platform

yes yes