I feel that this could be discussed rather more meaningfully, were to define strictly the use of words, as suggested at the beginning of this thread.
1) For my part I suggest the word dead could mean what it commonly refers to in science, and which is therefore accesible and intuitively understandable to all: Death is the termination of the biological functions that sustain a living organism.
2) Life, for my part could therefore be defined as: "all living organisms"
3) This obviously leads us on to the question of what is meant by a 'living organism', which we could define once again according to the definitions of science, which would be: an organism is any contiguous living system (such as animal, fungus, micro-organism, or plant). In at least some form, all organisms are capable of response to stimuli, reproduction, growth and development, and maintenance of homoeostasis as a stable whole.
4) Finally, we come to the meaning of 'universal'. This could be defined as the entire catalog of known living organisms (as defined above).
5) If we accept these definitions, then I would suggest that the question could be understood as: 'the death of living organisms is more universal than the life of living organisms', and if we include the subsequent addition, 'everyone dies but not everyone lives', we soon realise that all living organisms, bound by the laws of entropy, must die, but the 'not everyone lives' section of the proposition is absurd, given that 'everyone' must have been alive in order to have lived and in order to have received the term everyone.
Finally we come to the interesting part - which is that the author intended to be metaphorical, assigning a diversity of meanings to his terms. For more I shall come back later