What is a poem's 'poetic self' (as opposed say to its unpoetic, or
prosaic self?)? I'm not sure poems have 'selves'. For a brilliant
biographical reading of TWL, see William Empson, 'Using Biography'.
Whether or not Eliot was 'wounded' and whatever writing TWL did for him,
doesn't seem to me to matter to the poem at all. It is not generally
helpful, as Eliot recognized, to consider the poet over his poems, or to
read things into the poems rather than teasing things out of them. And at
least if you do so, you must realize that that is what you are doing (and
that isn't literary, but another kind of criticism).