But the qualities of the song are not what make it popular. With "pop" music there are far more important forces at play, namely the quantity and quality of the song's publicity. One of the big things you get with a big time producer is big time connections and a lot of "airplay" in mixes, commercials, TV shows, etc. You also open the door for more collaborations with other popular artists.
Occasionally you'll have a song that breaks through due to sheer catchy-ness, but this is the exception rather than the rule.
The ‘quality’ of a pop song is how much popular appeal it has. That’s the basis of the genre, even reflected in the name.