Sort of, the thing about transistors isn't the efficiency as much as the scalability.
You'd be very hard-pressed to make a modern processor out of vacuum tubes. It would be enormous, tedious to build (couldn't use modern lithography), and also consume tons of power.
If you're simply using efficient as a synonym for better, then every improvement is tautologically more efficient than what it immediately replaces. But solid state transistors were pursued specifically for their reduced power consumption while their scalability, which at the time was an afterthought, wound up making them revolutionary.
It (or major parts of it at least) could be built by a fully automatic / robotized manufacturing plant. That isn't "tedious". Even for a one of its kind processor that would be much cheaper than the manual way.
Sort of, the thing about transistors isn't the efficiency as much as the scalability.
You'd be very hard-pressed to make a modern processor out of vacuum tubes. It would be enormous, tedious to build (couldn't use modern lithography), and also consume tons of power.