Since nobody else has actually answered your question, in addition to the other observations about these two items, let's also take note of :
Hall-Effect Sensor Analog 49E
The 49E sensor can detect the magnetic N/S pole and relative strength of a magnetic field and outputs an analog voltage
- Vcc Range 2.3 – 10V
- Output : Analog 1.9mV/GS (± 0.2mV/GS)
Digital Hall Effect Sensor Module
3144 sensor detects presence of magnetic field and outputs logic level.
- Vcc Range 4.5 – 24V
- Output : Open Collector
So the sensor you've linked provides an analog signal, allowing you measure the magnetic field strength. The module provides only an open-collector output (ie: ON/OFF) which indicates either the absence or presence of a magnetic field above some threshold of intensity.
These are entirely different functions which you would use for entirely different applications. The module also works with VCC up to 24V, which makes it handy to integrate with 24V automation systems.
Why would you choose either? What do you need to do? Do you want to check for the presence of a magnetic field only, or do you also want to measure its intensity?