Why should the government own the RBI?

When it comes to borrowing, governments behave exactly like any private citizen, says the author

Back in 2015, it may be recalled, everyone was getting very excited about Raghuram Rajan, Reserve Bank of India (RBI) governor, and the government. M G Warrier, an old RBI hand, had commented thus: 

“There have been unending disputes about whether the curd is dependent on the pot for its existence or whether the pot gets value addition because it contains the curd (Thakrasyaadhaaram Ghatam vaa Ghatasyaadhaaram Thakram?)” 

I don’t think we will ever know. But that is probably why friction is inherent in the relationship and flares up from time to time. And that brings me to three questions