Would it help with adoption in any way?
It certainly will. A Polish couple in my area waited for more than 2 years to finally take their little one home.
Adoption laws in Poland are some of the strictest in the world.
If you are a foreigner then it's even more complicated.
By the time you get to the eligibility process and background checks, considering that you have been quite normadic, you will most certainly give up.
The amount of paperwork is staggering to say the least.
You must provide both original and translated copies for all the documents required.
Dealing with Polish Government Departments while abroad is a nightmare and should be avoided.
In your case a very good lawyer would come in handy.
It is achievable but you will need to do a lot of research.