You asked: Does WI offer non-resident permits now, or is this class just for WI residents?
It is for WI Residents only. WI does not offer non-resident permits.
You stated: CT is listed, but the class doesn't meet CT requirements for a permit.
It does for non-residents.
A non-resident is NOT required to take an NRA Basic Pistol Class. In fact you don't even need a course if you already have a permit from another jurisdiction. But for those who don't, this course will get them one that is needed to obtain the CT permit.
From the CT application:
"You must hold a valid permit or license to carry a pistol or revolver issued by a recognized United States jurisdiction.
Complete this form and submit to DESPP, Division of State Police, pistol permit location along with the below:
Completed State of CT and Federal fingerprint card with $50.00 fee and $16.50 fee payable to Treasurer, State of Connecticut for criminal history background checks;
Firearms Safety & Use Course Certificate;
$70.00 payable to Treasurer, State of Connecticut;
Completed Application for State Permit to Carry Pistols and Revolvers form (DPS-46-C);
Complete DPS-129-C and attach 2x2 color photograph (passport style), sign and notarize form;
A copy of the permit or license to carry a pistol or revolver issued to you by a recognized United States jurisdiction;
Proof you are legally and lawfully in the United States (e.g., certified copy of birth certificate, U.S. passport or documentation issued by I.C.E.).
Provide Out of State Pistol Permit Information:
State of Issue: _______________
Expiration Date: _____________
Permit Number: ______________ "
Hope that helps you out.