What you are trying to get at with those death rate and birth rate figures is called "rate of natural increase", which doesn't factor in the average age of the population which are better captured by fertility rates (which is why all those articles used that when discussing the issue). Our population is not a unified distribution of age; thee rate of natural increase is going to go severely negative in a decade (or sooner) when boomers rapidly die (the largest age group). I decided it was a waste of time to argue with someone who lacks statistic education and doesn't bother trying to read five articles from mainstream sources all repeating verbatim the same point I made.