I looked into it pretty heavily for my last house and I couldn't find much info about it. Honestly it bothered me that they wouldn't say what kind of grass it is.
One thing to remember about buffalo grass is it doesn't actively outgrow the weeds like St A and Bermuda do. Buffalo competes with weeds by outlasting it during extreme drought and heat. It will survive when everything else dies. I think with the turfalo they have bred it to stay green longer, but you will probably have to have a very robust herbicide program and plant it very thick to get it and keep it weed free. Especially if you have a lot of weed seed already established. So if you fertilize and water a grass not designed to be watered that doesn't grow fast you could be fighting a losing battle. The turfalo is supposed to have a lot of those characteristics bred out and is supposed to respond better more like a lawn grass.
St A will shade out weeds and Bermuda will compete by being cut shorter and spreading faster. Zoysia grows slowly but will get very thick and choke out the weeds over time.
You can do a lot to domestic and breed out unwanted characteristics from parent plants, but that is basically changing the species entirely. Not saying it couldn't work but it throws a lot of flags for me. The pictures on the site look great though.
You could also do Bermuda with St A under the trees is you want a cheaper option. If I had the cash I would do zoysia though.