The question becomes how critical is X and is there a close alternative. In this case I'd say for 95% of people yes driving is easily substituted by NYC's public transit options.
If you need to reach Long Island, the incentive to avoid the (tolled) Throgs Neck, Whitestone, Verrazzano, and RFK bridges are gone; now you're paying for the privilege of sitting in Manhattan traffic.
[0]: https://congestionreliefzone.mta.info/faqs
[1]: https://www.cbsnews.com/newyork/news/nyc-congestion-pricing-...
[2]: https://www.nyc.gov/html/dot/html/motorist/parkway-restricti...