quote; The plumber said there was the beginning of tree roots coming through and that they could repair and epoxy. He said they could also install a liner in the pipe
You have raised a "red flag" about that plumber. Cast iron pipes do not have "tree roots coming through", and unless they have a video of "your" sewer showing some problem, installing a liner will help him make more money, but do nothing for you. We have nothing to go by to make a diagnosis of what your problem is, but would definitely suggest at least one additional assessment by a "qualified" plumber, which I am not sure yours is. As for the original question about a Toto toilet, a "power flush" toilet just moves stuff out of the bowl faster, but once it is in the pipe, gravity makes all toilets "flow" the same.