Ironically, years ago (I don't know if it is still true), they used to say that Russian military was much better equipped to survive an EMP because so much of their equipment still was based on vacuum tube technology.
Microprocessors can be super miniaturized mainly because they run on very very low voltages and currents, often a single volt.
While a microprocessor can be taken out with a simple static discharge so small there is no visible spark or nothing even felt, most tube circuits depend on an anode voltage of HUNDREDS of volts, 300 volts, even as much as 600 VDC. Their normal operating point is with voltage so high that if you were to touch the wrong part, the shock would throw you across the room. Reducing power consumption was one of the main drives to develop transistors in lieu of tubes.
An EMP strong enough to take a tube circuit out will leave so much other material damage that burned out tubes would be the least of your concerns.