That's a good challenge. I think there's a difference. You're challenge will force me to wrestle with it. I am grateful for the dialog.
Let's start with capitalism as a totalizing system versus communism as a non-totalizing system.
Attempt 1
The Chinese movement for communism is historically posterior to Russian communism. That is true. However, Russian communism and Chinese communism did not become a single Communism, they maintained a boundary and eventually had a formal break. Capitalism, on the other hand, is international. It started in Holland, but the superstructural components (usually laws) were easily to replicate and harmonize, and the concentrative nature of capitalism meant that a single dominant capitalist regime induced harmonization in every other polity attempting to participate in the wealth distribution.
There is one capitalism in the world today, but there are 5 communisms (China, Vietnam, Laos, DPRK, Cuba). These 5 communisms do not compose a single system, they are 5 distinct historical processes. There is only one historical process of capitalism in the world today. And even the communisms are deeply integrated into that global process of capitalism, because it is a totalizing global process that controls incentives across all global commodities.
Attempt 2
Capitalism emerged in physics (or in practice) first and later was described by theory. In contrast, communism starts from theory and later emerges in physics (in practice). That is to say the theory of capitalism is descriptive, and the theory of communism is prescriptive.
This explains why it's possible for multiple communisms to exist but not multiple capitalisms. Capitalism happened. It took over the world. And then people described it in the abstract.
Communism was described in the abstract. It was described by people analyzing capitalism and prescribing an alternative. Then people tried to put it into practice.
In this way, communisms can independently emerge whereas capitalisms cannot. In the future when communism has taken over the world, we can agree that the specific communism that exists at that time will be inextricable from the historical processes that produced it. But Cuban communism was not produced by nor produced Vietnamese communism. They are distinct historical processes that share a common ideological history but do not share a material history. By contrast, the capitalism in China is 100% the same capitalism as the rest of the world, which is why it needs to be subservient to the party. If the party didn't dominate the capitalism in China. Then the incentives in total would be set by the West. With the party dominant, incentives set by the West can be counteracted.
I believe this demonstrates how there is materially only one capitalism but materially multiple communisms.
Attempt 3
Even if we grant that capitalism can be fully abstracted into a theoretical construct, I think that capitalism theoretically can only happen with a massive concentration of wealth held by an ultraminority that the supermajority relies on but does not control. Capitalism requires capital in the form of hoarded liquidity. Without hoarded liquidity, capitalism can never materialize. If that's the case, the question becomes "how can such a hoard be amassed?". I would contend that the empirical record shows that the only way to amass that much wealth concentration is the exploitation of a huge portion of the world's population - specifically a larger portion of the world's population than any single nation contains. That means that capitalism requires transnational exploitation, which is exactly what we see with the East India Company.
If that's the case, a given that humans are imbued with empathy by virtue of their neurology, it would seem that, to produce capitalism it becomes necessary to create some system that overrides innate empathy for other human beings.
In this formulation, I can concede that abstract capitalism doesn't rely on concrete EuroRacism, but from a functional perspective, it will always require something functionally equivalent to EuroRacism as long as we're talking about Planet Earth, with all of its various starting conditions. Maybe there's another physics where capitalism doesn't require it, but I am unaware of any theory along these lines.
Done
So that's all I got. Thanks again for the challenge. I'm not entirely satisfied with my response, but it's an initial set of approaches that I think point in the direction I'm facing.