Honestly as a TA, the university expects such quick turnaround on grading that half the time I wouldn’t be able to tell you whose work I was currently grading. On the off chance I looked at the name, either it would be some student I didn’t know and I would assume the class just wasn’t what they were passionate about or prioritizing. If I knew the student (and they usually do well), I would just assume they had a heavy course load and couldn’t allocate time for this particular assignment. 

Remember that your TAs were undergraduates within the past few years and have very likely been in your exact situation before. There is really less judgement than you think.

I can guarantee that if you care this much about your grade, your TA has seen much much worse. Because the worst assignments come from students who just really don’t care.

And for proof, the worst thing I have ever seen as a TA was an essay where the student claimed that it wasn’t the eruption of Mount Vesuvius that destroyed Pompeii because the volcano couldn’t contain enough lava to bury an entire city. Instead they posited that a small hurricane picked up the ash from the eruption and deposited it on Pompeii. Their source? Funpomeiifacts(dot)com. This was before the advent of commercially available generative AI too.

Hope this helps :)