Writing checks to the broker is real old scool stuff but some companies still do that. Many times more reputable companies setup individual property trust accounts which are more secure, in the name of a specific properties. If the agent representing that the money will be palced into a trust account the state has strong rules and regulations how those accounts are managed. Do some reaonable homework to protect yourself and ask a lot fo questions about who the agent is representing and how the agent is handling the cash.
This may or may not be on the up and up you would need to check on the brokerage and contact the broker or manager if you have questions.
I can't say for certain, but it is reasonable to ask the question. If the agent is a Broker, with a trust account it may make sense. If they are not, the funds should be made out to either the owner or licensed property manager.
If you have doubts, check to ensure the person you are working with is a licensed agent. If they are, ask for an explanation. If that sounds fishy look up the responsible broker for the office the agent is working out of and clear this with them.
I can imagine scenarios where it may be okay, but I can also imagine more where it's not.