I think you're being deliberately obtuse at this point. Or just obstinate and contrary.
And, tbh, none of those are particularly attractive in an adult or in a house mate.
'You'll always have a home with us' means that, should you fall on hard times, lose your job, a tenancy, a relationships ends and you find yourself without a roof over your head, there will always be a bed for you here.- temporarily. It means we love and support our children and won't see them suffer because parenting doesn't stop when they reach 18. It doesn't mean that parents hope their children will never leave home!
It doesn't mean never move out, refer to yourself as a child and want to do family activities with your parents in lieu of having your own life.
Your parents were a couple before you came along and they were probably looking forward to having some couple time again once you'd flown the nest.
Instead of doing that, you've increased the amount of time you're going to be pottering around their house.
You don't need their support. You have a full time job and have just arranged with your work to do compressed hours. Life is good. You just don't want to grow up.