An Indian-resident already has substantial EM-India exposure through their domestic portfolio. Adding more EM through the global sleeve double-counts. Most institutional advisors therefore underweight EM-ex-India in the global sleeve and overweight DM-ex-US to balance against the heavy US weighting.
A typical adjusted starting point for an Indian global sleeve: 50% US, 30% developed ex-US, 15% EM-ex-India, 5% alternatives.