Every light bulb has to be accessible enough to be changed. Most in-home bulbs are accessible by hand. The remainder are accessible by stepladder or by an extendable pole tool that is easily affordable by everyone who has ceilings that high.
The obvious placement for a reset button is somewhere that it cannot be accessed while the bulb is powered, such as near the screw-in Edison base, accessible only from the direction of the base. If the bulb is still screwed-in, you just can't align your paper clip with the pinhole, because the socket hardware is in the way. So the user has to remove the bulb, maybe also letting it cool off, before performing a pinhole reset.
And adding a reset button does not preclude a switch-controlled reset procedure, either. Press the reset button OR switch off for at least 15 seconds, on for two beats, off for one beat, on for three beats, off for one beat, on for five beats, off for one beat, then on again to receive the reset feedback flashes. Allow some percentage variance in the timing, so the slower the tempo, the easier it is to trigger the reset. "Off-one-two-off-one-two-three-off-one-two-three-four-five-off-reset." No one is going to do a sequence of primes by accident. And if you adjust timing on the fly, a machine-controlled bulb-resetter could reset a bulb in less than a second using a clock pulse generator, while a human could still do it in less than ten seconds by switching to a steady musical beat or by watching a timepiece.
Really, the only reason we want a button is because their timed power-cycle reset process is so ridiculous. Your reasons for not putting one in are valid, mainly under the assumption that a reset button would be mutually exclusive with a reset process. There's no reason why a bulb can't have both.