I am reading a book on Asian Christianity entitled, Asian Expressions of Christian Commitment. It presents the Asian economic and political situation and then shows how Asian Christians live through it. From this experience and perspective develops Asian Theology. What this book offers is an understanding [for the students and Westerners] of the relevance of Christianity in Asia. The Christians themselves tell the stories and their stories shape Asian Theology.
This analysis assumes that Christianity brought from the West also brought within Christianity a Western culture irrelevant if not inapplicable for the Asians. I believe so, if we are to say that Christianity was corrupted when it was introduced in the 1500's by the colonial west using sword and cross.
Then, does Asian Theology doing a different version of a Christianity corrupted by Western culture? No, what Asian Theology is doing [at least from what the book presents] is to express the reality of Christ within the community of Asians. That to experience God, one need not have a Western background... but Asians can experience God even in the Asian situation.