Cherry-Picking two lines? I went through the entire script, of both N64 AND Legacy of Darkness. Out of two games, two games, those were the only two of religious (specifically Christian/Catholic) to EVER appear. The Other lines were in reference to "This is the duty of my bloodline. This struggle against Dracula will never end. The struggle will continue even long after my death." If you want, I can even copy and past the entire script over here if you'd like.
My Point, as I've stated numerous times already, is that the ONLY REASON the Belmonts were exiled was because they had Supernatural abilities. That is ONE reason, SINGLE. You for some reason said Various non-religious reasons. Which Various, in and of itself does not fit that description. For some reason you like to try to note history to me, no shit that they would've been seen as witches if they had supernatural abilities. However, especially in the Belmonts case, they were exiled due to their abilities, but once Trevor killed Dracula, the Belmonts were viewed in a positive light and heralded as Legends. It wasn't until Soliel got mind controlled that the Belmonts were once again viewed in a negative light, which was then cleared up by Simon Belmont, who once again, had the Belmonts heralded as Heroes and Legends.
So, even if the Belmonts did just follow God. That, again, by the many many many many many definitions that I laid out for you that you for some reason just chose to ignore would still make them religious. But the Belmonts are at the very least Christian due to Leon. Leon never ever gave up his faith, simply just his position as baron. Again, the Church and the people were cool with the Belmonts, especially after Trevor killed Dracula. The Church and the People being cool with the Belmonts quite literally are in the games, and isn't just some headcanon thing that was made up. And being called out for what? That I want the Belmonts to be religious? My Guy, I'm not even my religious myself. Why would I care if they were religious or not? You made this whole thing a big deal, because apparently trolling is how you get your rocks off? Apparently? I mean, hey if that's how you get your jollies, go right ahead. But anyway, since apparently the People and the Church is a head canon thing, lets do this.
Let's quote the very end of Dracula's Curse with Trevor's Ending shall we?:
"Trevor made many sacrifices. The long fight is over. Dracula is dead and all other spirits are asleep. In the shadows, a person watches the castle fall. Trevor must go for now but he hopes one day he will get the respect he deserves. After this fight, the Belmont name shall be honored by all people."
-Castlevania 3: Dracula's Curse, Trevor Only Ending.
How about Grants Ending?:
"Trevor made many sacrifices. The long fight is over. Dracula is dead and all other spirits are asleep. Both feel their friendship is stronger since they both worked together to rid Wallachia city of evil. Grant will start to rebuild the destroyed parts of the city. After this fight, the Belmont name shall be honored by all people."
How about Alucards?:
"Trevor made many sacrifices. The long fight is over. Dracula is dead and all other spirits are asleep. The battle was won by Trevor and Alucard, but Alucard feels guilty because he killed his father. Trevor realizes this as he stands there and thinks about Alucard. After this fight, the Belmont name shall be honored by all people."
How about Syphas?:
"Trevor made many sacrifices. The long fight is over. Dracula is dead and all other spirits are asleep. Syfa, the Vampire Killer, has had a bad life, but since she met Trevor she is beginning to feel more comfortable with herself. After this fight, the Belmont name shall be honored all people."