All human thought and understanding is dependant upon human cognitive functions. Look, I am familiar with both scientific paradigm shifts and linguistic theories. Had to learn some of the latter as in addition to teaching English, I also taught French and studied Latin, German and Spanish. Besides, languages fascinate me. I have oodles of "teach yourself" books on languages and several on linguistics.
I do agree that language shapes thought. What you don't have words for you can't think about. And I do agree that culture also shapes perception. In science, the cultural matrix often suggests not only what to investigate, but how to investigate it. Gould has numerous essays on this topic.
Notice, too, how often science has to invent new words to describe what scientists are seeing. Or co-opt words to new meanings.
What you are not taking account of is that humans speak many languages and operate in many cultures. Yet all of them are accessible to science, and all of them end up confirming the same scientific conclusions. The benefit of taking language, culture, social status, etc. into account is that if you open science up to many human practitioners from many linguistic, cultural and social environments, you increase the number of scientific questions that will be posed, the range of research to be done, and enrich the methodologies used. A Japanese scientist may research something an American scientist would never have thought of studying. A female scientist will pose questions, and use methods, male scientists would not have considered.
But when all is said and done, their conclusions will be accepted or rejected on the basis of supporting evidence, not on the basis of sex, nationality, language or culture. Geniune scientific truth cannot be one thing in Japan and something different in Brazil; one thing for a male Russian and something different for a female African.
In its own way, science is rather like music in this regard. Music is very tied into culture and each culture has its distinctive sound, yet music transcends culture because we can all learn each other's music. Culture, language, religion, many factors may determine what a scientist chooses to study and even some of the methodology of the study, but the results of the work transcend culture and can be shared with the whole world and will be valid for every culture.