[cozzyd]

There are far more than 33 shinkansen trains between Tokyo and Nagoya. Today there are 127. There is some variance in how long it takes depending on time of day and number of intermediate stops, but most are less than 1h40m.

It basically never makes sense to fly between the two cities. I'm not sure you'd even make it from the entrance to Haneda to the exit of Centrair faster by plane than by train (it takes ~3 hours by train, including 2 transfers. About half the time is on the Shinkansen...). Maybe you can do it in less than 2:30 by plane. It could make sense to connect airplanes in some cases, I guess.

[seanmcdirmid]

It makes sense to fly to Nagoya if you are transferring from another plane. And they could service it with puddle jumpers. It is too bad that Haneda or Narita aren't serviced by Shinkansen stations themselves, then you would just take the train.

[cozzyd]

It's a pretty quick 20 minute ride on a local train from Haneda to Shinagawa station. Narita is a bit tougher, yes.

(source, I went to Nagoya for a conference last summer...)