Is it that helpful to have an accurate record of my contractions?

Not really. Most obs want to know approximately how far apart the contractions are. For example, "i have been having contractions 5 to 7 minutes apart for an hour and they are getting stronger, " or "i am having 10 to 12 contractions in an hour.".
Thanks for asking! Not necessarily. The pattern and frequency gives the likely progression range and can let your caregiver know that a problem is occurring.