No, good scientists understand significant digits. As far as geological epoch go, the time elapsed between the start of the industrial revolution and the start of the nuclear age is insignificant. Furthermore, while the technology began at the industrial revolution, the impact of that technology didn't have global environmental scale until later on. We don't mark the other geological boundaries at the point where precursors to change appeared, we mark them when change became significant. If you look at graphs of human energy or CO2 output, the knee in the curve does occur at around the mid 1900s. The fact that there happens to be an easily observable geological marker that occurred at that time makes it a convenient dividing point, and as good as any other of the arbitrary dates picked to divide otherwise well-distinguishable geological epochs.
If anything, I would argue they risk jumping the gun too early, not setting the date too late, as there may very well be a much bigger global change in the next 10's thousands of years of which the last millennium will just be regarded as a precursor to.