Answer:
No. If the business has more than one owner it's either a partnership, a corporation, or an LLC. Respectively, a deposit to an entity's account does not benefit a partner, shareholder or a member.
You never list an individual on a CTR simply because he or she is a signatory on an account.
Intentionally omitted: Discussion of the remote possibility that it's a state where "joint sole proprietorships" are recognized. All that conversation does is confuse the majority when it's actually the minority who should be confused.