writing credits - Pink
tour grosses - Pink
memorable performances - Pink (grammy performance the best example), though Beyonce is second best in this department
ability to keep relevant - both. 4 flopped, but I am sure Beyonce will come back swinging. Pink has been very consistent
Metacritic scores - TTAL has 77. I don't think Beyonce has anything anywhere near this.
influence on other artists - both. But Pink's sound has been copied much more extensively over the last 10 years since she went pop-rock.