Harsh abi..
If it were possible. Many patients would love to get married to their Doctors.
The level of care can easily stir affection, hence the Doctor must be careful.
It is difficult to establish that the reason the affair exist isn't because of the care given.
Yes, love can happen anywhere, but let love open eye. Like you said, many Doctors have been both truly and falsely accused.
The falsely accused one may have lowered their bars to give chance for such.