I realize I really don't have "standing" to comment about this, as a non-owner, unless my 40+ years of Chevy ownership somehow qualifies me, including owning an Impala SS since 1996.
The lack of a model "name" for the SS was quickly landed on by many--critics and potential owners--as if the model name or lack thereof was going to nix the deal, when the car finally came to dealers.
Sure, there are names that do not fit--Vega, Corvair, Corsica, Citation, and on & on. I happen to believe that also includes Chevelle--not to make this a fight, but the Chevelle owners would look at this 4-door "SS" just as the pre-94 Impala SS owners did when the RWD B-body's last hurrah debuted....and honestly, I think many current RWD Impala SS aficionados who don't know or care much about the history could care less about the extra 2 doors, since the car has proven to be superior in most every way to the cars built between 1961 & 1969, other than the retro cool factor.
But the Chevelle was and remains a much more definitive "muscle" car in the current market, so putting that name on a new model would, in many minds, sully the heritage of the original model from the 60's & 70's. The fact that the new car could embarrass the average big-block SS396 in every way is beside the point.
Couldn't build this today:
To me, the real issue is that GM and Chevy could not make a case for continuing to produce a full-size car and see it evolve, as it naturally would have, once the decision to halt production at the end of 1996 was made, and we got to watch other manufacturers fill the void--not having a full-size RWD platform hurt--both for enthusiasts and other traditional customers, as well as GM itself.
Lurking out there was what Holden was doing--and between Mark Reuss and Bob Lutz, thankfully something good happened - GTO, then G8. In other markets, Holden had presence, and eventually Zeta was offered, ironically as a Chevrolet, and with LHD through GM Middle East--VERY frustrating for us dealing with W-Impala's, including the FWD Impala SS, which went away in 2009. Caprice SS (WX8) was offered alongside Impala SS from 94-96 as the export model, and when Caprice WM happened in 2006, with the joint debut of VE, Caprice SS returned to that market, but not here, considering GM's deal with the devil (US Government) and stupid internal mis-management.
What I don't get is how G8 was so well accepted as a vehicle name, yet SS is deemed a problem for this new Chevrolet-branded VF. If it should have a name, Commodore would be fine--Chevy has long used names that started with the letter "C", but not exclusively. It's not a retro car, so Chevelle is just not suitable, IMO, but everyone will have their own take on that.
Only a few other names in history for Chevy come to mind with any potential--and none may be considered suitable to identify the new VF SS:
In my "perfect world" scenario, when the 2009 W-Impala SS (V8/FWD) was dropped, and considering that Pontiac was down and out, umbilical being cut, it would have been the perfect time to Federalize the LHD Chevy Caprice SS (since the basic work to certify it was already done by way of G8) and this whole discussion would be moot.
Considering that the SS is a halo car, built only one way, as an SS, does allow GM to get away with attaching no other name, since it is a stand-alone model. If it ever came to offering an actual model lineup with different trim levels, different powertrain options, etc, then an actual "name" would be needed--the SWB car should remain Commodore, the only thing that makes sense to me.