He is obviously not intending to join them formally when he is the President of BCCI. Because that is obviously enough to make people unsure about his credibility right? And even though he did not join politics directly I think he has close connections to a lot of politicians.
In addition, I also agree that you simply cannot find any candidate for the post of BCCI President who is politically neutral right now. It is very difficult to find people who are suitable for this job. So, I think if a person is politically influenced or not is the least of the worries for the BCCI. And anyone who is in line to be the President of BCCI right now is most likely to think about money first of all.