There is no one correct way to split bills
Some couples split everything equally. Some split shared bills in proportion to income. Some pay all income into one pot. Others keep separate accounts and only transfer enough for shared costs.
The fair option is the one both people understand and can live with. A 50/50 split can feel simple, but it may not feel fair if one person earns much less. A proportional split can feel fairer, but only if both people agree what counts as a shared cost.
This is where many budget calculators fall short. They often assume one household pot, when real couples may have Person 1 bills, Person 2 bills, joint bills, transfers, reimbursements, and personal spending that needs to stay separate.