Can I remove "do" from the below sentence? Does the meaning change?
Original: In a recent survey, Physical Fitness Weekly found that people exercising daily consider themselves no healthier than do people exercising three to five times a week.
EDIT: Can I delete "do" and rephrase the sentence as the following.
Corrected: In a recent survey, Physical Fitness Weekly found that people exercising daily consider themselves no healthier than people exercising three to five times a week.