About 25 years ago, when my 74yo old physician/GP decided to retire, he suggested that I use a younger GP in the practice into the future.
About a month later, I saw her for the first time and had her upgrade two prescriptions for medications and to review a weird skim blemish. All okay. All sorted.
Then, a further 3-4 months on, I returned to see her for my annual work-related health assessment/check-up that the older retired doctor had been doing for two decades.
About 4-5 minutes into this visit, she said, "I'm sorry to inform you of this but I am going to refer you to another GP from this practice or allow you to choose another GP from a different practice."
I felt a little weird that I may have said something offensive or joked about her desk's contents or something off-hand.
"No," she said. "I checked with Rita [practice receptionist] and she told me all about you. I was intending to contact you later today by 'phone to ask if we could see one another."
She did meet up with me later that week after a couple of phone calls to explain her thoughts and feelings. We had a couple of restaurant meals together then proceeded to about 2.5 years of regularly "seeing" one another.
So, I'd say it's not only weird but 'different' and definitely "cheeky" to be propostioned or head-hunted for relationship purposes in a doctor's surgery.