The problem with incorporating steel into wooden buildings is the difference in coefficients of expansion. Not just thermal but expansion when exposed to bulk water or merely humidity as well. The reason reinforced concrete works is the similar thermal expansion of concrete and steel and their negligible expansion from moisture and humidity.
The development of better engineering methods to deal with wood's expansion in the past two decades or so is one of the reasons tall wood buildings meeting contemporary construction requirements have become more practical and widespread.
This. We just moved our office into a 100+ year old wood building. We're doing the renovating ourselves. Most of the wood in the building is rotting or uneven. I've spent a week so far leveling the floors. Every old (70+ years old) building I've ever been in is like this; some worse than others.
We have our datacenter in a stone/concrete building that was built in 1912. While it has also deteriorated, it's not nearly as bad as the wooden buildings. The floors have cracks in them, but they're still level for the most part, or easily repairable. The building will easily be standing for another 200+ years. I can't say the same for the wood building.
A mostly-stone building will be perfectly fine, though :)
A bigger concern to me is the wood rotting from exposure to water or chemicals. Although reinforced concrete also "rots", but in different ways. Wood at least tends to sag before failing from rotting, unlike concrete.
I'm kind of surprised they don't utilize things like steel torsion boxes for the foundations instead of concrete, but perhaps there's cost considerations. They could do a lot of fancy things to extend the size of wooden buildings using steel if they don't mind losing those fire retardant properties.
Also, it should be mentioned that wood-based buildings can re-ignite after an initial fire, which doesn't happen with steel or concrete. While you may escape the fire and the fire gets put out, the structure may still not be safe. We may need new fire codes if these buildings become commonplace.