The context is quite a bit different. Do you support the Bharatiya Janata Party in India's proposals to ban religious conversion?
For starters they're wrong about the whole Jesus thing
But the other obvious difference here they're advocating government action to prevent people from converting, a major departure from believing on a personal level that someone can convert.
One reason why the Church isn't going to throw out all their records is that we don't believe in rebaptism and if they've already been baptized and would some day rejoin (which happens sometimes) they couldn't be baptized again.
And BRTD why do you care so much whether they call themselves Catholic? I could call myself a tulip but it doesn't make it true. Who cares? It's not like Catholicism holds that all one must do to attain salvation is be baptized. There is something called sin.