I have read some of the reviews for this site and can't understand how people (tourists) visit a site and then complain that there are lots of people (tourists) there.
Rome is a popular destination for people from all over the world and the famous sites of a famous city are going to be attractive destinations.
The steps are in a nice area and are an enjoyable part of the walk around the area.
Yes it's busy but with a bit of patience and understanding you can find a quiet place for a few minutes to enjoy the site.
Don't be put off and enjoy.