Domino's has a phone number, and every capability the company offers over the web it offers over the phone. In fact, since this business in particular was built on telephone-based ordering, the the phone option is actually the first-class experience, with the web offering only a fraction of the options otherwise available.
So at least in this case, ordering pizza over the phone instead of web is precisely as suitable a substitute as speaking to a waiter instead of reading your Chinese menu in braille.
The plaintiff will argue that regardless of the fact that no business services are actually unavailable, it is the website itself that is being denied. And falling back to a compatible communication medium is inherently unsuitable regardless of whether the fallback is sufficiently functional.
And if that's the case, then it's functionally equivalent to say that failing to provide accessible menus in a restaurant, and falling back to having the menu spoken aloud, is a denial of rights.
I'm not going to say whether it's right or wrong, but it is certainly different than how the law had been interpreted in the past.
They actively encourage customers to order online, pick up in person and do carry out. Most locations have minimal seating and minimal staff. Some don't even bother to have bathrooms for their customers.
Their business model actively tries to reduce the amount of overhead for the business by promoting online ordering and carryout service. So, no, ordering by phone isn't the same thing by any stretch of the imagination.
At least in California, any business with eat-in food services is required (by law) to provide restrooms. If a Domino's franchise does not offer eat-in service, it's entirely reasonable (and legal) they don't have public restrooms.
If they argue that the website doesn't need to be accessible because blind people can call, that's what all their online only coupons are.