The default rates as a function of credit rating seem very similar across the agencies; which seems to indicate they are similar in this respect:
Some details for CARE:
These are from Axis Capital report below:
https://simplehai.axisdirect.in/app/index.php/insights/reports/downloadReport/file/Credit+Rating+Agencies+-+Sector+Report+-+Axis+Direct+-+22012018_22-01-2018_14.pdf/type/sector