That definitely is one of the most interesting CO2 generation analogies I have heard. But manmade CO2, including beer emissions, is about twice the observed atmospheric rise.
Remove man from the equation and there would still be a rise in CO2 from natural warming. But the rise would be much less.
It could be relatively easily tested by measuring the ratio of C14O2 to C12O2 in the atmosphere, vs. the same ratio in, say, wood of an exactly known age from, say, the 18th century. By reversing the known decay rate of C14, the ratio in the pre-industrial 18th century could be calculated.
Since all the fossil fuel that has been burned since the 19th century has had 0.000% C14, the current ratio of C14O2 to C12O2, all things being equal, should be "much" lower, if your hypothesis is correct.