OP I think you're being a bit 'dramatic' about the whole thing tbh !
Yes, I get that your allergies impact your life.
But I think you're being ridiculous to suggest that 'society' needs to change things, simply to help you (And the very small numbers of people similarly affected).
YOU are responsible for FINDING a way to get round the issues you face.
i.e Save money to pay for deep clean pre moving in/replacing flooring, or move to live in an area where hard flooring/laminate is the 'norm' if you're having difficulty finding a flat without carpets !
The extra cost of this IS your 'responsibility' ffs ! Just as it's YOUR responsibility to pay for all your medications ! Because it's YOUR bloody HEALTH ! Not mine ! Or anybody else's ! It's YOURS !
Tens of thousands of people live their lives with disabilities/ allergies/ medical conditions that cost them more money every single bloody day !
e.g People who can't use stairs. Wheelchair bound people. Blind people. Deaf people. People who need help to eat/ sleep/ work/ toilet etc. People who can't use public transport. People who are allergic to pets/ foods/ chemicals/ materials etc. And they ALL have extra problems/ issues and costs. They ALL have to 'negotiate' difficulties in their daily lives. And most of them just crack on and get things sorted themselves.
And given you've never suffered an anaphylaxis or been ventilated, you're FAR from even being the worst affected with your allergies ! (But that's NOT said to 'minimize' your condition, because I know it IS serious. It just ain't as bad as it CAN get ! e.g Immediate anaphylaxis to ANY airborne particles !) But you seem set on the 'pity party'/ poor me/ you just don't understand...!
Lots of us (with conditions/disabilities/allergies) DO bloody well 'get it', and we DO 'understand', but you've got to accept that because WE are in a VERY small 'minority' of the population, we're never going to be able to access everything that most people take for granted ! It's NOT economically OR socially 'viable', and NEVER WILL BE ! (Also, severe/brittle asthma IS a disability. It affects your daily living and places restrictions on where you can go and what you can do !)
So, we have to help ourselves.
I'd advise you to find out about charities/ grants etc which may be available to you to help with the cost of replacing flooring/ cleaning etc so that you can start helping yourself to get suitable housing ? ( You may find that if you look for a flat with crappy/worn flooring, you could 'negotiate' with the landlord for a rent reduction if you replace the flooring etc, which may be doable with some financial help ? Then even if they want carpets in, they will be brand new with zero pet dander ?) You may also get benefits which would help you financially. Help for work (If a problem arises) etc etc A very quick Google throws up ;
www.allergyuk.org/
www.blf.org.uk/support-for-you/welfare-benefits
www.disability-benefits-help.org/disabling-conditions/allergies
Hopefully you will find/ be able to access some help by doing your research and applying for any help you may be eligible for. You may well have local organisations who can help you too, but you're going to have to put in the 'legwork' to find what's available for you.
I wish you the very best, and hope you can find somewhere lovely to live.