The purpose of using 'spring steel' for the clips is that spring steel will 'deflect or bend' enough (to go around the rim edge, without 'deforming permanently' ... so they can be used on/off repetitively. In the stainless steel case, they may go on (with difficulty) once or twice, but after a few times may deform to the point that they won't stay on.
A 'better choice' than these reproduction (or any reproduction for that matter) is to *restore* originals... (There is at least one or two individuals who make a small business in restoring original trim rings - and they look beautiful like new when done, but the restoration of your rings probably cost more than your reproductions cost.