The full value of labor can be considered meaningfully only at the level of the whole enterprise.
You and your coworkers collectively contribute labor worth the value of the products you create collectively, minus the costs of inputs and operation.
How such value is distributed within the enterprise is simply a choice by those who control the enterprise. No objective solution is available. Owners pay each worker the minimum possible for the labor to be provided, which under current systems is different for each kind of labor, due to labor commodification over markets represented by the law of supply and demand,.
Productivity is a form of activity, not a quantity.
Systems of productivity that are organized by wage remuneration rely on processes of labor valorization, but no such process reflects any inherent or essential feature of the productive activities undertaken by any individual worker.
Production in enterprise is by social processes.
Processes of valorization have more cogency at the level of the entire enterprise, because products within the enterprise are created through the complex accumulation of many individual contributions, but are exchanged between easily separable entities, one enterprise with another, or an enterprise with a consumer, often through commodity markets.
Ultimately, there is no law of nature for resolving a distinctively quantified value of each worker’s labor.
Similarly, there is no law of nature proscribing the same rate of remuneration to each worker per unit of time contributed to the social processes of labor. A social choice for such practices would be possible to implement.
You provided two different names, each representing collections of ideas and objectives that are extremely general and often nebulous or ambiguous, and you complained that someone is pursuing one to the detriment of the other.
No more is plain from the text you wrote.
I am asking you to offer further details over how you personally are understanding the particular terms, and perceiving the conflicts.
Communism simply represents any societal system of workers directly controlling enterprise, instead of its being controlled by private owners.
When enterprise is privately controlled, wage remuneration to workers is resolved entirely by the profit motive of private owners.
The employment relationship carries no deeper motive or essential virtue, as you have suggested. It embodies no natural directionality that “takes into account uniqueness, results, and innovation”.
Under private enterprise, all is subsumed under profit, and all that is not profitable is discarded.
When workers control enterprise, they may distribute the value of their product however they choose. No power prevents them from ascribing value to the attributes you have identified as meaningful.