That's a good way to look at it, although, truly, yyou'd be better off comparing 1066 MHz or 1333 MHz DDR3 vs. 2133 DDR4, since these are "base speeds" each technology will have launched at. Comparing DDR3 1600 would be comparable to a higher DDR4 speed than 2133 MHz... perhaps DDR4-2666 or DDR4-3000 might be the more accurate compare.
If you are simply comparing what's available now, it would be more prudent, IMHO to maybe compare DDR3-2400 to DDR4-3000 or DDR4-3200. Or you could go by price... I'm not sure where the truly accurate comparison is at this point.
And no, EarthDog, I do not have an NDA on DDR4. However, I do feel that all info must be provided in proper context, and that context does have some limitations for me at this time.