If that is easier to do, by all means. But consider this:
The "L" is almost a mile closer to the Hudson River, is pointed in the right direction, involving less demolition of buidings (perhaps none, just tearing up 14th Street from between 8th and 9th Aves to 12th), is already constructed under all the north-south subways it crosses, and uses full-width cars and thus can have more people seated and a far greater capacity per train than a PATH train (almost double), and has the capacity to easily handle the extra patronage. I would expect the number of passengers coming from NJ to outnumber those from Brooklyn, with a 2-minute headway during rush hours, and every other train using the pocket track east of Myrtle Avenue to reverse there, or perhaps one out of three, another one out of three short turning at Atlantic Avenue. with Janius, E55th, and Canarsie-Rockaway Ave getting 6 minute service.
I am unsure at this point, memory-wise, whether the "L" ever had platforms extended from 500 to 620 feet for 10-car trains, instead of eight (seven of the original BMT "steels" or two Multi's or D-types.). If not done already, might be done at the same time.
The big problem with building PATH west (or east, to GCT, as originally envisioned) is going underneath existing subways. And the curve at Herald Square would be mighty difficult because oof existing subways, station facilities, and buildings.
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Why not keep it in the family? If the Port Authority were to build a new bus terminal anywhere they should extend the PATH train to it. In NJ it could be an extension from 33rd St then loop down the Meadows to Journal Sq. area and/or maybe use one of the abandoned rights of way into Newark and the Oranges. PATH already has cross Hudson privileges and charters and rights, etc. so there would be no state infringements, et. al, as would accompany New York State's MTA invading NJ. Utilizing PATH"s existence could probably cut 10 years and 100's of billions of dollars from the project while opening up NYC to more people.
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Rather than repair and expand the now decrepit Port Authority 8th Avenue and 41st St. Bus Terminal and the one in Washington Heights, both should be moved to New Jersey. Not the "7",, but the "L", the 14th Street Canarsie Line, should be extended to Sacaucus Station on the NEC with a stop at a new large efficient bus terminal to replace the one on 8th Avenue. The "A" should cross the GW Bridge to a new terminal replacing the one in Washington Heights, with the C taking over the 207th Street service.
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