1. As most men tend to be, I'm willing to play games at home.
2. As most men tend to do, I'm willing to play games at home.
I think 1 is correct because "willing" can be regarded as implied as in "As most men tend to be willing".
Maybe could sentence 2 correct if we think "do" is substituted for "play" as in "tend to do"?
(1) is OK, as you say. At first sight (2) looked wrong to me. For me, your explanation of (2) almost works, but not quite.
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(1) is OK, as you say.
At first sight (2) looked wrong to me. For me, your explanation of (2) almost works, but not quite.