Self-sufficiency is good for the soul. I would suspect that whether he admits it or not, your brother feels some guilt to atill be mooching off the folks at age 26. This is not good psychologically.
Parents don't have to push the kids out of the house they day after high-school graduation, like a fledgling from the nest, but fully covering rent, food, utilities (did they also pay for his degree?) is in the long run not doing your brother any favors -- it is just delaying the lessons he'll have to learn the hard way later about personal finances, choices, and responsibility.
I felt bad living with my in-laws. I moved to Canada from the UK to live with my wife, had to wait for the government to let me work legally (took way too long and went through way too much BS that the government gives a free pass to like the Tamil's who just landed who have been given immigration lawyers at the governments expense, but I was expected to have to pay hundreds of dollars for any chance to get a lawyer and had to do all the paperwork myself) for a job I already had lined up.
We recently moved out and I feel so much better. There was so much pressure that wasn't even being processed by my consciousness. I didn't make phone calls because I didn't want to be tying up the phone line (my in-laws also have a lot of far-flung relatives that stay in frequent contact) for an hour or more talking to my parents. We didn't want to have friends over too often because it wasn't our house.
Me and my wife are covering food/rent/utils/services by ourselves, putting a decent amount into savings and have the freedom to do what we want. We're 22/21 and we're responsibly using credit cards, financing and still saving money; yet my brother who easily earns twice as much as me and is older still manages to go overdrawn because he was never motivated to move out.
Parents don't have to push the kids out of the house they day after high-school graduation, like a fledgling from the nest, but fully covering rent, food, utilities (did they also pay for his degree?) is in the long run not doing your brother any favors -- it is just delaying the lessons he'll have to learn the hard way later about personal finances, choices, and responsibility.