I don't mean to be rude either but you seem to be describing either living with a house mate or the equivalent of a teenager.
I am sad that your situation clearly leaves you feeling, abandoned, unloved and uncared for. Dealing with those feelings of rejection and loss is a very a difficult and painful situation and only you can change that situation.
You either accept that your husband is how he is, it is his choice to be that way and your asking will not change him, you've tried that and got nowhere.
Or you look to build a meaningful life for yourself either sharing your current abode with your house mate or in a place of your own.
I understand the legal status and I'm sure as husband and wife you have shared responsibilities, costs and maybe assets but you clearly don't have an emotional or psychological relationship.
If your relationship is as you describe there is no respect and no caring, is it reasonable to want those in a relationship - yes.
Are you likely to get those in from your husband ?
Asking us if he is being unreasonable is one thing but our opinions and insights can not change him or improve life for you.
You describe that lack very clearly so you are clear about what your relationship is like yet you ask GNers are you being unreasonable to ask for help around the house or for your husband to interact with you.
Well no you are not being unreasonable to ask for those things but you already know you don't get those things from your husband.
What is it about you and your situation that you do not want to accept yet you can describe the reality you live with clearly?
A reality as described by you - is one where your husband does not want to be a life partner, a loving, caring companion to you. That is sad, it is lonely it is disrespectful, it is unreasonable, it is many things - I think it is abusive - look at the Women's Aid web site for domestic Abuse.
However, GNers can sympathise, empathise but even if we say your husband isn't being fair to you ( I don't think he is being fair) what can anyone other than you do to change your relationship and therefore you daily life experiences?
You write clearly about his avoidance techniques and his lack of engagement with you and his outright refusal to change his avoidance of anything meaningful or caring towards you. As sad and as wrong as that is HE is doing that and YOU complain but don't do anything to take better care of yourself. He's not going to give you the care you want, you know this.
From what you have written on both your posts you've tried to reason with him but you can't change him, he's made it clear he will not change and there is nothing anyone can say or do to make him change.
Only you can change you. Only you can make your life better, he won't, he doesn't want to as you've already explained in your posts.
It's sad, it hurts, it's lonely, it's unfair, he is unreasonable, I'd say he's abusive and he's clear he will not change to make you happy.
Are you being Unreasonable to ask him to help in the house or engage with you? YES you are.
You are being Unreasonable to yourself.
You are because you already know he will not do those things. He will not be the life partner you want him to be.
You Are Being Unreasonable because asking him to be who he will not be is You setting YOURSELF up to be hurt.
He has Stopped being your Husband - Stop looking for him to be that.
He is not being the life partner you are worth.
But most of all STOP being his wife. Stop doing his laundry, cooking, cleaning. STOP setting yourself up for hurt.
START finding ways to Accept the painful reality you have described in your post.
START take better care of YOU - YOURSELF.
START using your time to find ways to change your life For You.
YOU are WORTH MORE than you have now but only you can get that More for you.
Good Luck and Take Care of Yourself