At the moment the Lifx bulb control (on Android at least) is done using the HTTP API. That means that Flic is connected to the Lifx cloud account and the actions look like this:

Flic->Android app----->Lifx cloud----->Bulbs

The problem with that is that the delay after pressing the Flic is considerate and, worst of all, if the router loses conection to internet while still being powered up and offering WiFi then the button becomes useless.

It would be great if the Lifx actions supported the LAN API as specified here: https://lan.developer.lifx.com/docs/introduction

That way the bulbs can be controlled via WiFi without internet conection and would respond FAST:

Flic->App->Bulbs

The control is limited (no support for scenes), but basic actions like on/off, color changing are instantaneous.

Recover the distance between a button and my device to perform a specific action, and get distance paramater in sdk (signal force). (like EBeacon)

As opposed to monitoring, which enables users to detect movement in-and-out of range of the Flics, ranging provides a list of Flics detected in a given region, along with the estimated distance from the user's device to each Flic. Ranging works only in the foreground but will return (to the listening device) an array (unlimited) of all Flics found along with their properties.
A device receiving a Flic transmission can approximate the distance from the Flic. The distance (between transmitting Flic and receiving device) is categorized into 3 distinct ranges:
Immediate: Within a few centimeters
Near: Within a couple of meters
Far: Greater than 10 meters away
A Flic broadcast has the ability to approximate when a user has entered, exited, or lingered in region. Depending on a device's proximity to a Flic, they are able to receive different levels of interaction at each of these three ranges.

Example ?
DISTANCE MODE
Ok i'm in my garden and my music is playing in my house.
More I move away from my home and from the "music" flic, more the sound increases in volume.
When I go over a certain distance ( more 30 meters ? ) from the flic "light" : an event starts and the light turns off.

Between 20 pm and 6 am, when I approach the flic light if the light is on, I can consider that the more I am close to that flic, the light reaches such intensity 70. But when I'm over 10 meters and that I need light : intensity can pass to an intensity of 100. It depends on the needs of each.

I think most flics will be static in a house except the flic on you pocket or on your clip.

What do you think about that ?