It is quaint and curious, though.
I live in a garden (aka: basement flat) apartment and I have had at least three cats come up to my window and watch me. They seem to get into a routine and then adopt people. But these same cats will never come near me if I’m outside. They simply like peering into my window. I don’t know if they are strays, but they appear to be someone’s pets just out for the night.
But cats are like that. They pick people to like and it has little to do with food. Sure cats will come back if you feed them, but that doesn’t mean they like you. Cats have an order of “I like him, the most, then him, then him, then him.” And what you do for the cat has little to do with him liking you. I’ve known many owners complain that they feed and take care of the cat, pet him, brush him, clean his litter box, and yet they are still down on the list.
So yes, the cat for some reason, known only to the cat, likes you. But rest assured, someone better will come along and you’ll be dumped in due time
I’ve read that the average dog who’s raised in the house would, if turned outside and made to fend for him/herself, either die or get very very hungry before their hunting instincts kicked in. Also, if you died in your house and your pet dogs were trapped with your body, they’d have to be on the verge of starvation before they’d begin to eat your body (about like humans and cannibalism). Cats on the other hand, if bottlefed from birth and raised as pampered pets in the middle of a BelAir mansion, would if turned out go exactly as long without eating as it took them to find prey. If you died they might grieve but would commence eating your face the first time they got hungry after running out of food.
I’m uncertain what The Farmer’s Almanac would say, one crow isn’t a problem but a GROUP of crows? That would be murder. 
When you get home and find anything bigger than a calf as an offering, I’d either bring in a priest or move.
Something similar happened to me some years ago. I was living in a cabin in New Hampshire where I would build houses in the daytime and just read or play guitar in the evenings. One morning a stray cat (also black and white–with extra toes) came by–I gave him some meat I had in a cooler. When I returned from work, the kitty was there in the cabin pacing around a dead field mouse, looking up at me and meowing. He stayed with me for a couple of weeks until the season ended, and I moved on.
When I was a kid we had a cat that adopted my dad (who didn’t really like cats). She would bring things she killed and lay them in front of him. If he was busy she would follow him around with them. But she would not eat that ground squirrel or whatever until my dad told her she was a good girl and admired her kill. Then she’d eat.
The dog thinks: “This human feeds me, pets me, gives me a place to sleep, he MUST be a God!”
The cat thinks: “This human feeds me, pets me, gives me a place to sleep, I MUST be a God!”