No we'd still be lumped with them.
I don't you quite understand that Iraq exists solely for providing oil.
The United States is now pressuring every global oil company into not buying Kurdish oil so that Kurdistan will become a 3rd world country from an oil embargo so that the Kurds will pay a price for going independent.
It's even worse considering that the Kurds have 30+ population which will be difficult to provide resources for, even with oil wealth, it'll cost alot of money every year.
Especially when considering food, education, water, social services, job markets, etc.