I have used once or twice both Agoradesk and Local Monero for converting my Bitcoin to usdt. I have not used any of the above listed exchanges for INR transactions, so I could not comment on INR trust. I did not face any issues using these two exchanges for USDT conversion as the transaction went smoothly without any issues. In general, P2P exchanges have a good reputation for buying and selling cryptocurrencies, converting to fiat currencies can be tricky.
Just a correction, these all are p2p exchanges but some of them require KYC like p2p platforms like Paxful and Noones have mandatory KYC.
Paxful and Noones are both the same exchanges if I am not wrong as Noones was started when Paxful was supposedly getting closed. I was not aware that they require KYC as I was under the impression that the do not ask for KYC till a certain amount. For example, before Kucoin implemented strict KYC they would allow up to 2 BTC worth of transactions without KYC. I thought the same for those two exchanges, they might have changed their policy I guess.