What are dis/advantages of using just Coaches Console website vs. having a separate business website and embedding the Console there for clients or visitors?

The answer really depends on your needs, that is on what are you trying to do with your website and what kind of features you are shooting for. There may be a few things that can't and won't be done on TCC (like blogging). So, most definitely, if you're planning to attract clients by blogging you will need a separate WordPress site/blog, for example. But recently the flexibility of Console pages increased more by implementing the ability in the page wizard (Advanced tab) for the coach to install custom scripts. In conclusion, depending on what you want to do, you may discover that the Console platform is sufficient or not. If you are not sure, you can contact us via support and we will confirm whether you can do something in the Console.