I don’t think England’s spinners bowled that badly. Leach took 6 at 29, Moeen 8 at 28. 600 odd runs from the opposition shouldn’t be an insurmountable challenge.
The issue is that India’s spinners massively outbowled ours. Ashwin 8 at 12, Patel (a debutant) 7 at 14.3.
Some of that is a better Indian bowling performance, but I think England’s batsmen have to face facts - they played poorly. They assumed that what had worked so well in the first test would work well in the second. I also think their heads dropped on day 1, and they never recovered.