Since that's the new "GameStop" version (ugh), it will still recognize the games I already had under my Impusle on my old computer, right?  It's not going to ask me to register or sign up for any GameStop crap, is it?

impulse will still recognise any games associated with your account and you should be able to download them still. I know a few people are having problems with impulse not letting them update software if their subscription has expired and they renewed,,, impulse wont recognise the sub renewel therefore wont let you download updates. But i have heard somewhere that games work differently. Good luck mate

Okay, I have games I've purchased for a few years some Stardock games some from other developers.  I continue to use Impulse to access them, update them, and if I want to buy more. 

Gamestop Impulse has not been an issue to me at all.  I see no difference with it at all.

I also have Stardock Object Desktop subscription.  I used to get that software through Impulse also.  However, getting those software compnents through Impulse is ending now.  This is what is referred to as the subscription software no longer supported through Impulse.   Stardock is now providing that support directly.

To continue useing your game software that was on your Impulse account just download and install Imuplse and re-establish your account.  All your game software is still there waiting for you.