I stayed at Lord Nelson for six nights in November 2021, and honestly don't understand where some of these horror stories come from. Yes, it could do with a fixer-upper, but for a two-star hotel, it's very pleasant. Yes, the elevator still didn't work, but the staff was very accommodating and friendly, and the rooms clean and well-attended.
There was an issue with the cleaning of my room on the first day, so I was given a twin bedroom for the first night, along with sincere apologies.
The location is superb, and as for the sounds coming from the outside: Liverpool is a big city, yet I never experienced any particular disturbance at night.
I will definitely stay there again on my next visit.