I can imagine that this ability makes different thoughts possible.
When looking at programming languages, it is indeed the case that your "lingua franca" limits the imagination of what software architectures are possible to solve the problem.
https://aymara.org/biblio/html/igr/igr3.html
Or just use of 無 in (ancient) Chinese for a simple example (in the sense of "unasking the question").
I always thought it was remarkable how much human thought was imprisoned by language, and it really makes me wonder what a human 'without language' would be capable of thinking.
To clarify, I don't disagree with what you're saying; I'm not a linguist but from what I know there certainly seems to be some truth in the weaker forms of the Sapir-Whorf hypothesis (that language affects how you think), but the strong form (that language controls how you think) seems fairly well disproven these days.
No expert and not disagreeing with you, but I'd be very interested to read any literature you can recommend on the subject.
Linguistic relativity