Back in the day (before retirement) it was a bit of both. I needed a winter boot I could walk in (lower heel) and something that was warm and weatherproof for a train and pedestrian commute. Sometimes the boot worked for the type of weather and was suitable for indoors, but most of the time I had a stash of ‘office shoes’ and would change out of winter boots. Chelsea boots are an example of boots that did double duty, as well as dressy high boots.
These days if I’m going somewhere where I might spend some time indoors, I pick a boot that is suitable for the weather and the indoors place. Usually my commute in those situations is door to door by car and I can get away with less substantial boots, or make a mad dash in shoes. I only tote a change of footwear if I’m going to the gym.
Boots these days are pretty utilitarian, and needed for 4-5 months of the year. I feel like I should have a pair of dressy high boots, along with a dressier long winter coat, but so far I haven’t managed to address that wardrobe hole