I agonized over this when I had my first; why have a baby then park it in nursery all day? Felt so guilty. But the reality has been a lot better than I expected.
Both my kids have done full time nursery as I worked. Although it means long hours away from a primary carer, kids get used to it and then actively enjoy it; I don't see any damage is done.
My dd started at 11 months part-time and went up to full-time 8am to 6pm aged 2.5 yrs. It was a lovely nursery with a stable team of staff, loud at times but not all the time. DD was genuinely never out of her comfort zone after the first few weeks of settling in. She left well-adjusted and outgoing and 100% ready for school (which was actually less hours as her school refused to provide Breakfast club to Reception as it was "too much" for them to handle!)
My DS started nursery later as I was a sahp parent for nearly 3 years. It was a lot harder to get him settled at nursery as he went only 2 days a week at first; things were a lot more comfortable for him as soon as he went up to FT (all day, 5 days a week), because he benefits from the routine and seeing his friends who are also there every day. As a part-timer he kept missing out on fun activities by only being there 2 days a week. He does love weekends, for sure, but he understands that mummy and daddy work. He does less hours than his sister; 8.45 to 5pm, as I now wfh.
Regarding wrap-around at school - it's just a well-organised play date really! My dd thrived on being able to play with a large group every day after school.
Tbh my kids are not sensitive to noise and are both very loud, a lot of the time! I'm not sure if they are loud because of nursery or by nature, but it doesnt seem to have caused any harm!