填 thong和 much as 都无错 尽管的意思
much as he wanted to go out..= though he wanted to go out ...
这个是 AS 的用法之一 ADV.+ AS/ N+AS都可以
E.G:
1.(ADV.)Much as he wanted to go out with his friends at the weekend, he had to stay behind to finish his assignment.
2.(noun.) A hero as he is, he has many shortcomings.
均表示转折尽管的意思