Within our .net 6 projects when we have upgraded auth0 from 1.0.1 to 1.0.2 the User.Identity.Name is now null and we can see these differences in the claims;
1.0.1 User.Identity.Claims[1] value = {name: ouruseremailaddress.email.com}
1.0.2 User.Identity.Claims[1] value = {http : //schemas.xmlsoap.org/ws/2005/05/identity/claims/name: ouruseremailaddress.email.com}