Quite so and very well said.
There is, of course, a difference between 'old' and 'dead', in this context, and it is a very salient one, and one needs to draw a distinction between the two of them.
Indeed, it is perfectly possible to be 'old' (venerable, mature, rich in lived life) and not 'dead'; equally, it is quite possible to be 'dead' but not old (and I do not necessarily mean this in a strict literal sense, as in 'he died too young, alas', but, rather, also also in a cultural, literary, social, political and artistic sense, too, where some perfectly useless ideas, theories, fashions, movies, and art expired with timely decency, the brevity of their existence proving that neither marketing, nor luck, nor youth, can protect them indefinitely.....).