Those boots are fine. Classic Cowboy & B-Western are the only categories that are strict about the boots you wear.
B western requirement is : • All boots must be of traditional design with fancy stitching or multi-color fancy design with smooth, non-grip enhancing soles. Lace up boots and moccasins are not allowed.
Classic Cowboy requirement is :All boots must be of traditional design with leather or smooth rubber, nongrip enhancing soles.
And the outlawed items are: • All types of athletic shoes or combat boots no matter the material from which they are constructed.
After that, everything else is pretty much wide open. Ariats, Lace-ups, Redwings, almost any kind of boot is good as long as you aren't wearing tennis shoes.