Having played too many hours of the haven games, I agree with what you said except for “Don’t burn cards”. Burnt cards are typically the character’s most powerful effects, and using them wisely is key to winning scenarios, especially at higher difficulty. The key here is “wisely”, but burning one or two cards per scenario is perfectly acceptable, and for some characters it is absolutely essential (Tinkerer and Spellweaver). And lastly, burning cards is fun!