If you have drastically reduced your playtime and are doing other things and are still feeling burnout, it could be because your time ingame is unfocused. You log in but don't know what to do so you just sort of putz around and then feel drained while not really accomplishing much. This is very common with burnout. Lack of interest leads to lack of focus which leads to more lack of interest and so on in a cyclical pattern.
My suggestion to deal with that is to set yourself small goals for whenever you log in and do that goal, no more no less. For example, you decided that today you will do ST and get your weekly drop, then tomorrow you will level a gathering class by X levels, etc. Setting yourself small achieveable goals that you can focus yourself on, accomplish in a reasonable amount of time and then walk away for they day may be what you need.
If that doesn't work, then it would probably be best to just go hand off until 2.4 hits.