I agree with Shannon that increased web presence is a plus.
I love IDEA FitnessConncect but it is also in some ways rigid as you have to stay within the confines of the parameters. With your own web site, on the other hand, you can expand where you want to, add pictures and whatever you want.
Personally, I do not keep my web site static. In fact, I make changes quite often, adding content, testimonials or events. As I use analytics, I can see that I have almost 20% returning visitors to my site, and what would not be the case if the site does not change.