As mentioned by previous posters- toe walking can be indicative of a lot of things. Usually its either shortened heel cords or a sensory thing. Walk around on your toes then on your flat feet. You do feel more on your toes! As to the description your visit to the pediatrician, that can be attributed to sensory issues or to just plain being overwhelmed or nervous.
Disclaimer that I am an OT so I am seeing a nail!

Alison