Is concessive clause like the following rarely used? We've learned it as one of the usages of participle phrases, but don't they use it a lot? I'm not sure if I have heard or seen a lot, but it's confusing as my grammar book says like that.
ex)Admitting what you say.(Though I admit what), I still don't believe it
Being rich(Though I am rich), I am not happy.
Admitting, or allowing that what you say is true(Though I admit that what you say is true), I still don't believe it
Being rich, I am not happy, is unacceptable, it's like saying that being rich automatically makes one unhappy.
Though I am rich, I am not happy. Makes sense because of though.
Obviously, being rich should make one happy, so though or despite or even though are needed.
I am rich - yet unhappy.
I am neither rich nor happy.
Admitting carries a meaning that conveys the concession and makes the meaning clear, while being rich doesn't- it doesn't work for me and I get the same ambiguity as Freezeframe.