Would this scenario need corrective shapes?

I'm playing with a little personal project, where I have a morph effect between several types of glassware.

I managed to get them working well except for when I go from a stemmed glass to a not stemmed glass. It gets these ugly sharp lines on the geometry.

My first thought was corrective shapes, but I can't figure out if that's the wrong direction entirely, or if I'm just missing something on the process of executing it.

They are all curves with the exact same amount of vertices, then added subdiv to add more vertices, screw to make a shape, then subdiv again to smooth.

I'm starting to wonder if I should have made these shape keys after applying all of these? 🤔 I was originally hoping to keep them a tad more procedural to make for easy changes.

Any insight on this problem would be greatly appreciated! :)

ps. This would have been perfect for absolute keys should I not want to loop the animation. And the ugly lines happened just the same, though so many less keyframes!