It's definitely "just" allergies, everyone is different, through the whole range of mildly affected, to life threatening allergic reactions.
You have my utmost sympathy it's annoying as anything, hindered by (personally for me) allergies that can come and go - as in I can be fine with a certain product for months/years, then all of a sudden my body decides it doesn't like it and can be then fine with the same/similar products on another occasions. This is bedsides things i have always consistently been allergic to.
What I am saying in a long winded way, it may be a case of trial and error, as in you may not be allergic to every single cleaning product (although there is chance you may be), different products contain different chemicals, so through trial and error, you may find cleaning products (even different variants of the same brands ) that you can use with no ill effects, just tread carefully.
Example - in most products, I just can't use Lemon scented cleaners, they really affect my breathing something shocking, there is one brand specifically that REALLY affects me, but when using other scents of the same brand, I am ok as long as I'm sensible in use and ventilation etc.
If it is any constellation, even though most of them smell lovely and are tested to the hilt - cleaning products aren't really good for you to be in to contact with anyway, so there is an upside.