Want to burn bridges, points to consider

Burning a professional bridge can be a hard move. I can say that in my short career, I've already burnt a few, more due to negligence and laziness than anything. I feel that as time passes, it's definitely a skill that can make the difference between being paid an average wage or being paid more.
It's sort of like networking: some people do it really well and get a financial return or professional gain from their networks. Some people feel it's just a waste of time and that the best thing about networking events are the free sandwiches. It's hard to value your personal relationships and as a result, it's hard to know whether it's worth nurturing them or letting them die off.
Let's look at some scenarios where you might choose to burn or save.
Scenario #1: They're A Hub
You know one of those people. You might consider yourself one of these people. You're the center in the web of connections. You're everyone's common connection. If you're considering cutting this sort of person off, you might need to think twice, especially if you're in business and you rely on them for referral business.
The decision might be easier to make if they've recently been embroiled in a controversy, in which case it could be a smart idea to cut them off in case the incident affects how your contacts/clients perceive you/your brand. However, showing solidarity can also be a good move, especially if they're a personal friend as well.
Scenario #2: A Mentor
If it's a mentor or someone else who has contributed a lot to your professional development, helping you get to where you are currently in life, it can be really difficult to cut them off. Most people will not cut off a mentor, even if they're passed their use-by date. However, high-level professionals burn bridges to their mentors all the time.
The best example that comes to mind for me right now is quite timely: tennis players. Wimbledon showcases the talent from all over the globe and their crew that tags along with them. Some of the higher level players change coaches more often than racquets. Indeed, they may show more loyalty to sponsors rather than their teacher.
It depends on the nature of the relationship. If it's purely professional, it's not hard to cut them off. They want the best for you and you make the call if you feel that they're not a good fit for where you want to go. If it's family, then it can get a bit harder.
Scenario #3: Family
Burning familial bridges is probably one of the hardest to do. I've been part of businesses where someone married into a family business and they were automatically made the manager or head of some department. This can be a perk, but it also puts unnecessary pressure on them.
Ideally, if you respect yourself enough, you'll know that the scenario doesn't change. If you feel that it's not in your best interest being associated with them, by keeping it professional, it shouldn't too difficult. It only gets difficult if they blow it up into something bigger than it actually is.
There's always a time and a place that you should burn bridges. Regardless of the scenario weigh up the pros and cons, keep it professional and you'll know whether it's the right decision to make or not.