I doubt it. I have raised 2 CSEs so far. First One was that i entered the wrong birthday for my sibling (yes, i did that, don't ask how

). A week after that i raised the second one.
When i had submitted my job responsibilities letter with initial profile i realized 2 weeks later that nowhere in my job letter was my full name ever mentioned. So I applied for a new letter from my employer and raised a 2nd CSE to submit the letter with my full name on it.
So yeah, I don't think CSE should affect it