I am Catholic and a Knight, which requires me to support the Pope.
Neither of those two requires you to support an obviously errant pope...in fact, if you believe the pope to be preaching error, it’s your duty to acknowledge that and work against it...
I am actually supporting the Pope by not supporting his scientific conclusion in hopes of not embarrassing the Church.
...which it seems you are doing...
Not really. Not in comparison. Not in terms of human suffering, for sure.