One aspect of "protein quality" refers to how close a type of protein is to being "complete", i.e. containing all the nine essential amino acids in sufficient amounts.
Most meat, fish, whey (milk protein) and eggs are complete protein sources.
As covered in other questions, there are many vegan complete protein sources as well, such as soy beans, lentils and rice, or maize and black beans. (Even potatoes are complete protein sources, but they contain little protein.)
An incomplete vegan protein source is wheat protein, found in bread, pasta and Seitan.
Have a look at these questions:
- What are the highest protein sources for vegetarians/vegans?What are the highest protein sources for vegetarians/vegans?
- Is "protein combining" necessary to be healthy on a vegan diet?Is "protein combining" necessary to be healthy on a vegan diet?
So, in summary, no, meat protein is not per se superior than vegan protein. However, one needs to take care not to rely on incomplete protein.