If there is a smallest unit of space and time and matter and energy then there is no divide by zero problem and therefore no infinity problem.
If the range of the electromagnetic force is not infinite, then it's something. What? If the lifetime of a photon is not infinite, then there are no such things as eigenstates of the Hamiltonian for electromagnetic systems. If there are no stable eigenstates, they have a lifetime. How long?
Claiming that the lifetime of a ground state is some number -- which we must discover -- is not an improvement on saying it's infinite. Its actual value might be significant of some real physics, or it may simply be an environmental value. In the latter case, we would not know that until we have searched for years or decades. Be careful what you wish for.