This analogy is not really relevant: Vacuum tubes and transistors/FETs use fundamentally different principles for their transfer function. IC OPAs are just regular transistor/FET circuits, implemented in a chip. A discrete circuit is not fundamentally different (necessarily) from the circuit in a chip, it can even be identical. ICs are an advantage because they are smaller, cheaper, and easy to implement for a designer (the circuit is mostly already defined inside the chip). None of those advantages make them actually perform better.
ICs do have the advantage of thermal tracking, and as mentioned by some folks, they (usually) do not require matching-but these things are can be achieved with discrete as well, albeit with more effort. For example, discrete circuits can use dual package transistors/FETs for matching and thermal tracking.
The disadvantage of using ICs are that they are already a defined circuit, perhaps a good circuit, if they suit the exact needs of the design at hand, but they may not be the best circuit for the task at hand. A really good audio design engineer, may, be able to design a discrete circuit which better suits the needs of a given component, in other words, the design engineer can be more creative with discrete circuitry, which may allow for an improvement in performance (by not being locked into the design of the available ICs).
My intent with this thread is not for it to become a discrete vs. IC thread (or to suggest that discrete or IC is "better"), the point is only to show that there is not a fundamental performance advantage to using ICs (other than ease of design and cost factors), hence my pointing out that the best measured DAC by ASR is a design which uses both a discrete converter stage and a discrete output stage. Another example of a discrete circuit performing really well is the NC-400 amplifier modules, which use a fully discrete input stage design and discrete voltage regulators as well.