Regardless of the AC/DC argument, there would be greater line losses at the lower voltage, or heavier cable and support structures would have to be provided for the same load. Possibly more supply substations too.
I think the other issue with DC would arcing at the point of contact. An AC supply is zero volt crossing multiple times a second. (twice the supply frequency) and tends to self extinguish arcs. I am not sure how 3kV DC systems cope, but I would think that with higher DC voltages it would be an issue.
AC also suffers from the skin effect where very large conductors and currents are in use, and this is another source of losses, the 16.7Hz German system actually suffers less in this regard, but at the expense of much larger magnetic components e.g. transformers.
Hopefully technology will develop to the point where direct 25kV input and conversion electronics will become available to replace the transformer, in much the same way as switched mode supplies have revolutionised domestic and light industrial systems.
No doubt you could model solutions for each route and come up with the optimum supply strategy for each route, but that defeats the object of a standard system. 25Kv AC is probably as close as we will get to a one size fits all for the foreseeable future for intercity routes, and lower voltage DC for high density urban routes where it makes more sense to do the transformation and rectification before sending the power to the train to avoid lugging the transformer around.
One advantage of DC over AC which is being eroded is the ability to balance the load on the 3 phase supply, because static convertors are becoming available which can take 3 phase input and give a single phase output. This issue has hindered upgrading supplies where there is no large feeder from the grid.