Actually I think having new Icons tied to previous ones is a great way of respecting the legacy while also paving the way for new Icons. While yes, Oddfellow is inherently connected to Jack, he very much stood as his own character and Icon (and I would argue is actually better than Jack).
Another example that could hopefully happen one day, as Legacy has suggested before, the Projectionist, the man who filmed for the Director and was driven insane by everything he's seen. Pull some strings with his backstory to make him stand more on his own like they did for Oddfellow, and viola, another great new Icon that also respects and continues the legacy of an older one (in this case, the absolute worst and most boring Icon, but I digress).