1 It is very difficult to make good career plans when one is in the midst of full blown burnout. There just isn't the spare mental or physical capacity. The mental agility, time and attitude needed for successful career planning is simply not there.
2 Offering career planning to someone who is currently depressed or with any significant mental wellbeing issue is misguided.
3 Important decisions should not be made when someone has burnout as even the process of exploring ones career could be very distressing.
Career planning and career crisis management
Addressing burnout requires a blend of approaches in which there may well be a limited career discussion. However the majority of the approach at least in the first instance usually involves a mix of proactive consultant led occupational health related input, job planning negotiations and/or a visit to ones GP and quite possibly time off work.
This is all very hard to muster when in full throes of burnout. In fact it may take some time to persuade a doctor that this approach is vital. In burnout all a person wants is for it all to somehow magically stop.
Desperation does not promote good decisions
Career decision making in burnout tends to be more of the "help get me out of here" type and less of the "proactive steady well planned creative" type. No guesses as to which works best.
Two things happen frequently in burnout as ways of dealing with the downwards spiral.... A) changing career by" kneejerk" , "scattergun" or "try once" (often all not quite couched correctly thus resulting in rejections which can be particularly demoralising when amidst a burnout state) B) just carry on, batten down the hatches. Neither A or B are really addressing the problem.
Begin career planning BEFORE burnout
In burnout the right approach to gaining resolution is not to think that career guidance alone will turn things around. The recovery time for burnout is many months or even years - not days/weeks. A sustainable short term solution must be found until things stabilise - before seeking career guidance.
The best approach is to tackle career concerns really early and thus avoid burnout altogether. That said - a steady and logical approach to burnout then generally stabilises the situation - from which proper career planning can then be done.