The cars computer relies on a few critical sensors to run the engine, the most important are the Throttle Position Sensor and Manifold Absolute Pressure sensor. Without a MAP sensor, the most Speed-Density fuel injection cars will have no idea how much air is going into the engine and they will stop running.
Some cars have emergency limp-mode fuel maps to only run off one sensor, but I don't think Hondas have this back-up.
This is similar to unplugging the Mass Airflow Sensor or Air Flow Meter on a metered airflow fuel injection system. Mitsubishis have a backup system that will keep them running (poorly) and older Mazdas don't (and will shut off.)