The output of a Hall effect device (sensor) is voltage, not resistance. And you have to have a significant excitation current to make them work. Thus in their raw (analog) form they are not suitable for low power circuits like flashlights (low power when off - you don't want them discharging the battery while just sitting in a drawer, or pocket, or holster).
The angular position sensors you have found are probably bulky and expensive, not to mention power hungry, so not well suited to flashlights. They are complex systems built up around the relatively simple sensors.
Clever engineers have devised ways to make low power sensors by turning them on very briefly, measuring the output, then turning them off for a while and driving a latch circuit that holds the output between samples. This happens very rapidly to detect a moving magnet, but the on time is so short that the average current is in the tens of microamps. This is insignificant to all but the smallest of flashlight batteries (20 uA would take over 80 years to discharge a CR123 cell). But these devices all have binary (AKA digital) outputs - they are either on or off. Also, they require a regulated voltage supply, typically between 2.7 and 5 volts.
If you wanted to use a Hall effect sensor in analog mode, you'd have to address the excitation current issue, then you'd have to have an LED driver that accepted an analog (voltage) dimming input. It's not sufficient to connect the hall sensor to the gate of the drive FET because the FET turns on over a fairly small and poorly defined voltage range, while the Hall sensor would have a larger output range.
The other option for magnets is reed switches. These are also binary (on/off) devices, but don't require complex control schemes that include microprocessors, though that is certainly an option. They also don't require regulated supplies, ground references, etc. so they are much more easily integrated into your system.
Lastly, georges80 didn't mention it, but he makes small boards that include a Hall sensor and high current output. They are much more sensitive than reed relays (this is a good thing) but do require a little more thoughtful design.