Unless you come up with a REALLY catchy slogan that makes people think of your business name,
Most companies spend mucho $ promoting their slogan but most don't last that long. Remember the old "At Ford, quality is job one". That lasted a while, not you never here it now.
Back in my advertising "life", we took an informal quiz on popular slogans. Very few of us could identify the product associated with the slogan, and that was our business.
It won't hurt but I doubt it will help
Yeah, you remember commercials but what the product was?? - sometimes you remember, sometimes not.
I think your photos should pretty much speak for themselves. People most likely want to see what you can do, your name or logo/motto seems necessary mostly to identify you. Your photos can express what you're all about.
I know several people who spent hours and hours on a slogan, business name and even the look of their business cards.
No Body Cares!
It is the quality of your product that will make or break your business.....
You will not be judged as a photographer by the pictures you take, but by the pictures you show.