Sure, nothing wrong with that. Just the pitiful performance -- low loop gain, low slew rate, high noise, high input offset...
In particular, the low gain and slew are due to the plate current being most likely under 1mA. I would guess higher-perveance types are preferable here, like 6DJ8/6922 over 12AX7.
I doubt the offset is actually going to be all that bad, but that said, offsets of like 0.1V would be typical for toobs, and even terribly mismatched BJTs are within something like 50mV. If nothing else, you'll want to skip true DC operation, like with a beefy coupling cap on the 1k resistor there.
I don't think aging will actually be too bad. At such low power levels, they'll last forever, and mainly expire from fading cathode emission (likely in many 10k's hr), or suddenly from failed heaters or something (thermal cycling etc.). Being made at the same time, and operating in the same environment, they'll likely track fairly well considering.
In the transitional era, manufacturers from Philco to Tektronix used hybrid circuits, using, *cough*, well, the best of both worlds instead -- transistors for the low noise, high bandwidth, low voltage, low power, low cost; and tubes basically anywhere that transistors couldn't yet reach, sometimes high power but mostly high voltage. Which in turn relates to anything driving other tubes, namely televisions and oscilloscopes as prime examples. You'd see tubes in the HV section, both for power (line output) and rectification (HV/EHT); video/deflection output (high voltage, typically using pentodes with very low plate capacitance, and very high gm), and sometimes in RF or other input sections where transistors weren't quite yet suitable (like your 3HA5 UHF triode or nuvistors, or anything microwave until some time later; and arguably still today in specific microwave applications, like magnetrons).
Tim