There is no right or wrong in this scenario. It’s just that certain people wants to live on their own. They can definitely have a helper if the need comes. What they want is their “ personal space”. Don’t get me wrong, I am a boomer myself. I do not wish or insist to stay with my child now as I totally understand what they want. We were young once, hence sometimes have to understand what we had done for the younger ones may not be appreciated. But sadly, that’s life and we got to accept it.
Since you are the one who bought the house, sell it! They don’t want you there, better for you! Time for you to live your own life & stop being an unpaid servant to them. Value & love your life. All the best to your new start!!👍😄