If you are not needing to consider having someone who does not meet a certain skill standard to perform surgery on you, then, yes, it would seem that the surgeon market is saturated as the parent describes it.
Sure, it is possible for the market to desaturate at some point as key people leave. But at that point, assuming suitable, per the earlier comment, replacements don't fill the void, the market will either come to accept lesser skilled people or it will come to accept fewer surgeries, returning to equilibrium. Not exactly magic.