So an update..
I got a replacement iPhone 7+ and a new Verizon SIM card and set it up as a new phone.
Tried calls with the case on and off and it still sounded like a robot in a wind tunnel cutting out for the entire call.
I'm not sure how many more of these replacements I should bother with or if I should ask Verizon to exchange for a 6S+ or a Google Pixel.
What's more is this whole experience is very odd putting for my wanting to get a new MacBook Pro. Especially when I replaced this phone this week and had to argue with the rep that it's a problem with the phone hardware. Which it CLEARLY IS. My boyfriend is on the SAME family plan with me on the same carrier with the same settings (no special partition service or HD off or LTE off) and he has the same iPhone 7+ in the same color (matte black) and he has NO PROBLEMS. Our friend has the rose gold iPhone 7+ on Verizon - also no problems.
There is very clearly a large batch of phones with an issue with making phone calls!!!!! People switching to other phones are having immediate excellent service on the same providers. People with the 1% of working 7's are having excellent service. What gives!?!??!???
Can we at least get a response acknowledging this issue and saying they're working on a fix????? Or could they at least track down which batch is the one that works so people don't have to keep going through replacement phones again and again?????
I don't have a landline if I need to call 911 and they can't hear/understand me then what????? What happens????? My family gets to sue and at that point it gets acknowledged????? This is unacceptable for a nearly $1,000 phone to not work as a phone.