As far as I know things are equal, but I would hardly ever play 3. Bc4 as White in a normal game to avoid the Two Knights Defence altogether.
As Black I would almost always play the Two Knights Defence if given the chance and if White plays 4. Nc3 I would play 4. ... Nxe4 immediately.
It is easy to make mistakes in the Two Knights Defence, and I suspect that a large number of players respond with 4. d3 just to avoid 4. ... Nxe4.
In some books/comments the move 4.Nc3 has the reputation of a mistake, and after 4...Ne4 Black should even has an small or huge advantage... Of course, the statistics are great for black, but I think after the best line 5.Ne4 d5 6.Bd3 the position is equal, maybe even a very tiny advantage vor White. The mainline goes on with 6...de 7.Be4 Ld6, but 6...Nb4!? and 7...Ne7!?,7...Nb4!? are maybe better alternatives?
Can you please share your opinion/analysis about this lines? :)