Uh, no, it does matter, because oil doesn't require manufacturing from scratch, only refining what already exists, so that example doesn't compare. That was the beauty of oil, it was energy-dense and pre-existent in large quantities. You can't manufacture a paradigm shift in energy consumption if it involves manufacturing your fuel, as there will be an inherent inefficiency in conversion from one fuel to another. The fact that you have to actually manufacture your fuel using energy obtained from the sources you claim we'll be moving off of onto antimatter means that if we changed over we'd be worse off than before, not better.
If we were not manufacturing antimatter but merely harvesting it (which is possible if you can get to it in space) then your analogy would hold, but the handful of antiatoms we've made in accelerators do not compare to the shift to oil.
Given that it can only be generated in a handful of machines on the planet, at great financial and energy cost, and that this has only been capable at a snail's pace compared to other energy shifts, saying it'll go at "warp speed soon" is naively optimistic.
Increasing the energy content of your fuel does not mean you can travel "interdimensionally" (whatever that is). It just means you can travel faster. You could possibly get to relativistic velocity, but that'd be about the weirdest thing that would happen.
