NATO standardization could change this, but as of 2021 there are 3 brass sources. One is a small shop who makes their own brass for their own loads, and doesn't sell it commercially. Two is FN. They make all 5.7x28mm brass currently. S&B under projects has made 5.7 brass, but they still claim to this date no commercial offerings, and the lots that show up in France or Canada are "test lots". Sounds like BS to me, because how would gun shops get test lots in to sell.
Fiocchi USA owns the US contract for all 5.7 loadings. That includes Speer Gold Dot, American Eagle TMJ, and SS197SR. Since all brass is sourced from FN, it's all the same. Belgian sourced SS190/L191/SB193/SS195/SS198LF typically have crimped primers, where as the Fiocchi stuff won't.
It's been stated one reason for the coating is to allow for the brass to not get stuck in the chamber during firing, and this allows the shoulder to grow out. Most will find success without the coating in the pistols and other platforms, but some still may experience issues. The above mentioned S&B loads don't have a coating, and the French Ruger 57 user reports constant feeding and extraction issues.
The coating will last 4-6 loadings, if you simply wash the cases in a 1:4 mixture of Simple Green and water for like 15 minutes.
TL:DR All commercial brass is from FN, and has the coating. Your effort required to remove the coating, exceeds that of the time needed to no worry about it. Just wash the cases and proceed with normal loading workflow :D