On the other hand, if removing central planing makes communism not communism anymore, then adding those "minor tweaks" make capitalism not capitalism anymore.

Btw, central planing is not a requirement for a communism, it's just that one of the largest communist experiments was implemented that way. There was also a king of distributed self-planning, that worked much better as an implementation of communism.

>if removing central planing makes communism not communism anymore, then adding those "minor tweaks" make capitalism not capitalism anymore.

The minor tweaks to make capitalism work still allow private ownership, free exchange of goods, and a system based on the movement of capital.

The changes to make communism work, make it not communism by definition. If you don't have central planning then how are goods and services created and allocated? By a free market? That's capitalism!