The first strategy of burning the bridges is fit for people with high risk-appetites. It is essentially a leap in the dark. Failure could devastate the adventurer because picking up the pieces and writing a new life chapter would demand tremendous inner resilience.
Doing nothing is really not doing nothing. It is exploratory and experimental, a patient scrutiny of the pros and cons of changing track.It is about examining how others in similar situations had managed to break free of the past and discovered and invented new openings.Here the risks of failure are minimum, at the worst you will be afflicted with boredom.
As rightly stated, everyone has to choose her own method to seek out new ventures. At the same time, I wish you had elaborated a little more on how patience and incrementalism can help us to secure new life-changing insights