J.L.
I worked in physical therapy and saw a few babies with gait problems. What I remember about the ones that walked on their tiptoes were it became a habit and then their muscles and tendons/ligaments would actually hurt (feel tight) when trying to walk normal. The best comparison I have is when you get a charlie horse in your calf and can't straighten it out right away.
It's normal for babies from 10-18 months to walk on their tippy toes, and of course with anything else regarding babies there is room to safely say a little before 10 months and a little after would still be in the "normal" range. Some babies keep it up and it becomes their normal, feels right, or they just do it for fun or force of habit.
You never know maybe your reg dr is just adding it to the list but the main reason for seeing one is the flat feet (which usually require orthodics or inserts). There are other things it "could" be but try not to google too much and stress yourself out even more. Hang in there, hope this helps.