As somebody who has never run anywhere near either one, I the 14:10 5K seems slightly less unattainable to me. I suspect that most people who ever choose to commit to the training required [for them] for a 14:10 can already run a 4:10 mile or close to it without seriously attempting 5K training, which might bias our perspective a bit. I think the proportion of people who could ever run 14:10 5,000 with years of optimal training is probably slightly larger than the proportion of people who could run ever run a 4:10 mile after years of optimal training.
Having said that, the McMillan Running Calculator does not agree, and I'm happy to defer to McMillan on this type of question. If you input a 14:10 mile into the McMillan Running Calculator, it suggests you should be able to run a 4:05.4 mile. If you input a 4:10 mile, it gives you a 14:26 5K.