Actually the spelling really does not matter. Just because a word happens to be spelt the same in two languages does not mean that it is the same word and bound to one language alone. Do you also reject grand and petite as English words?
Did I say I rejected anything? I am only responding to the idea that Paris is an English word. It is also a French word. That part appeared to be missing in your original statement. The examples you provided didn't include a cognate that was spelled the same in both languages, so it was not clear from your previous statements that you were aware of the difference.