Yes that's true and there's a good reason for it. The hundred year old buildings are in, or close to touristic and historical areas that due to preservation laws and NIMBYISM, nothing extra is being built there and will never be built, so supply is fixed forever but demand is ever increasing. Basically they're more valuable assets than gold.

Those areas are also very close to all amenities like top public transport connections, quiet green spaces, entertainment, good doctors, top companies, good schools, lawyers so walkability is top noch, you don't even need to use public transportation, let alone own a car.

Buildings in those areas are also typically much more spacious and more solid than the current matchboxes being built.