How old is the Arleigh Burke design?

Are Arleigh Burke destroyers older in design terms than Dreadnought was at the outbreak of the Second World War?

Yes; the Burke concept reaches back about four decades, longer than the interval from Dreadnought's conception to the Second World War.

The lead Arleigh Burke was laid down in 1988 and commissioned in 1991, but the design process began much earlier. By the 2022 stream, the concept had been evolving for roughly four decades. That span exceeds the interval between the emergence of Dreadnought and the outbreak of the Second World War. The comparison does not make the ships ineffective, but it explains why accumulated roles and changed technology strain the original assumptions.