White fused with his natural shinigami powers which made his Zanpakuto and Soul hollowfied by default. He was born with what Visored were infected. That is why he could do Mask the way they did. Let us presume that Zangetsu without White biting Masako would be somewhat similar but not hollowfied. But yet again that would not make him Zangetsu we know today so it would be like fully different character.
My question is if white is ichigos core, who would it be if white never bit his mother
We would never know, ichigo would have just been a Quincy soul reaper hybrid, he's hollow powers made him too special and saved me a lot
White fused with his natural shinigami powers which made his Zanpakuto and Soul hollowfied by default. He was born with what Visored were infected. That is why he could do Mask the way they did. Let us presume that Zangetsu without White biting Masako would be somewhat similar but not hollowfied. But yet again that would not make him Zangetsu we know today so it would be like fully different character.