The quote that stood out for me was the following:

The nineteenth century physicists also believed in the aether, as did Newton. There were many aether theories available, but only one was consistent with observation: H.A. Lorentz's theory, which simply asserted that the Maxwell equations were the equations for the aether. In 1904, Lorentz showed (Einstein et al., 1923) that this theory of the aether - equivalently the Maxwell equations - implied that absolute time could not exist, and he deduced the transformations between space and time that now bear his name. [...] That is, general relativity is already there in 19th century classical mechanics.

Now, all that's well and good, except for one, tiny, teensy little flaw: there is no such thing as aether. Michelson and Morley proved that quite conclusively in 1887. Tipler, in this case, appears to be basing his argument on a theory that was discredited over a century ago. Yes, some of the conclusions of aetheric theory are superficially similar to the conclusions of relativity. That, however, doesn't make the aetheric theory any less wrong.