However, the mental jump to then switching the logic around that any woman looking for abortion was raped is simply illogical
I agree, but I didn’t say that they were raped. I said you could presume they were raped. You are perfectly capable of making and choosing to make that presumption.
I think that yes, women would have to admit to being a victim to receive medical help. There’s simply hardly any other way.
There most certainly is another way. You are under no obligation to ask. You don’t need to create an obligation for her to tell. Even if you did ask and she did tell, she could have some reason for lying and claiming it was consensual when it actually wasn’t, so you can ignore any answer she gives.
The “other way” is to allow you to presume that she meets whatever criteria you believe necessary to justify and permit abortion. If you need to believe she was raped, presume she was raped. If you need her life to be in danger, go right ahead and presume her life is in danger.
One last point: You are under zero obligation to presume that her sexual encounters were consensual. If you choose to presume consent, I’d like to know your rationale for doing so. And I’d like to know how fairly you will be treating a rape victim seeking an abortion if you presume consent that was not granted.