What is your take on business vs. personal brand? Should we use a business name, product name, or our own name?

There are pros and cons to both. When there's a personality behind who's teaching it, and you get to know the trainer, they become your guide. You can connect with a person faster than a logo or a company. The downside of a personal brand is that you can't easily step away from the business or hand off the more visible tasks. 

The advantages of using a business brand are that you can outsource more easily and can sell the business and exit the company without the public noticing much. The downside of a business brand is that it generally takes longer to build customer trust and loyalty. 

If you decide to use a business brand, you want to make sure to have some brand ambassadors that your audience gets to know. A great example of this is Kajabi. You start to know some of the key players in the business even though Kajabi is the company. Either way, there's got to be a person or two that people actually get to connect with.