I'm assuming assume that PR means permanent residency, sometimes known within the uk as indefinite leave to remain (ilr).
It depends on the specific British citizen girl.
Her individual ambitions, attraction dealbreakers, lifestyle preferences and sometimes family traditions.
Different British girls often have very different ambitions, attraction dealbreakers, beauty standards, lifestyle preferences and relationship expectations.
Some British girls who are open to marriage and have a strong interest in South Asian culture or have relatives whom have cultivated close personal ties to South Asian countries will be willing to consider marriage with a South Asian guy.
Whilst plenty of British girls have decided not to get married at all.
Many preferring to either go down the civil partnership route, remain unmarried and cohabitate, have unofficial casual relationships or stay happily single for life.
A lot of girls are not open to marriage with any overseas citizen raised in another nation.
Nor having a serious romantic or sexual relationship with anyone who does not have the same citizenship that they do.
Variety of reasons including: incompatible attraction dealbreakers, conflicting personal values due to culturally opposite upbringings within domestic environments where very different national laws & social norms applied, not willing to have their future children eligible to inherit citizenship of the other partner's homeland or no desire to risk being involved with any attempts to obtain access to a visa/irl/citizenship for either the marriage partner or any of their relatives who want to relocate to the UK.