I think you are at a disadvantage if the person/company you choose to work with is not competent whether they work for Redfin, another office or are a broker themselves.
If the property is in high demand whoever it is should be able to get your offer together to submit it in a timely manner before they accept another one. It’s easy to do….especially with Docusign these days.
If you have the the strongest offer through the best number, the best terms or optimistically the best both it should not make any difference who is representing you.