No.
The inventor probobley made the for tennis and other people started using it for something different and now they use them for everything.
Well it depends on the kind of shoe. If you can tie them tight and are comfortable(they have to fit right or you will trip)then yes they are.=D
Roxy does have tennis shoes, but obviously, not all Roxy shoes can be tennis shoes.
yes they are running shoes.
How to Buy Athletic Shoes
How to Select a Tennis Outfit
Comparing Three Types of Running Shoes
Women's Specific Running Shoes