I agree, except the "match your care to your resources" sounds like a bad recipe to me. I don't think it's possible to control how much you 'care' about something; only how much you act upon it.
It sounds a bit like saying "don't love the other person too much". You can try to be more measured in your displays of affection if you think it may scare the other person away, but you're either in love with someone or you're not; "how much" in love you get to be isn't really a conscious decision. And unreciprocated love can lead to relationship burnout in the same way.
So if deep down you care about something but try to consciously "match your care to available resources", it's probably going to lead to more burnout too, not less.
It sounds a bit like saying "don't love the other person too much". You can try to be more measured in your displays of affection if you think it may scare the other person away, but you're either in love with someone or you're not; "how much" in love you get to be isn't really a conscious decision. And unreciprocated love can lead to relationship burnout in the same way.
So if deep down you care about something but try to consciously "match your care to available resources", it's probably going to lead to more burnout too, not less.