Here's detail from Burnham's plan. (Colors have been altered, of course.)
You can clearly see the the diagonal boulevards and the grid. Also, the present Rizal Park was supposed to be a government center -with monumental buildings arranged in a half-arc facing the bay. The Executive Building (previously occupied by the Senate and now by the National Museum*) and the Finance Building were the only ones that got built. I think the Commonwealth Government set aside money for the project (saved over a decade) but then decided to spend it on rural irrigation projects instead.
The boulevards all terminated at the center of the arc of buildings - one road had a direct connection to the railroad station in Paco.
Notice also how the new government center butted-up right next to the walls of Intramuros -giving it an active edge. Currently, the Walls have open fields/parks/driving ranges as foreground -with no active edge connecting the old city to the new city.
(*isn't it sad that the National Museum doesn't seem to have it's own domain and seems to just be squatting on Tripod?)