Just seems to me that it would lead to the person saying, "Hey! I took this down, but they paid me to do so!" Which would lead to a whole 'nother flood of complaints which may or may not be accurate - and with the whole complaint management issue with our regulators -- I'd just review the initial bad review, see if it was accurate, see what my institution could do to make it right, change a procedure, etc. -- and document the whole process. If you make it right, the initial poster could revise their review or update it.
I know I've done that on app feedback on my phone (or Amazone). You rate your experience, give feedback, they fix it, and you revise your feedback.