Adobe Lightroom Presets are a shortcut to apply Adjust/Edits to an image. As such, they move all the Develop/Edit controls in the Develop panel to the values stored in the Preset.
When exporting to Lightroom, Avalanche won't be able to attach a particular preset to the values of the Develop/Edit controls. It does not make any sense to think of it that way anyway.
When exporting from Lightroom, Avalanche will read all the values of the Develop/Edit controls and convert them to the appropriate values for the target application. In that sense, Avalanche takes the Preset into account, simply because it takes all the adjustments triggered by the Preset into account.