Thats interesting and inline with what was mentioned above regarding the 4 element Ektar 100mm which may be better for 8x10 than 6 element schneiders because thats what it was designed for. Allthough it may not be as was also mentioned. And I have it on good authority that indeed it is not possible for it to beat a 6 element.
Regarding the taking lenses. I read somwhere the the enlarging lens does not obey that rule and I dont know why or remember the explanation. Although it is true for the taking lens that more elements does not always mean sharper. I have no references but I do remember reading it from a credible source.
With the greatest of respect ...
There are no hard and fast rules.
I'd be willing to bet that if you used the right criteria, you could design an enlarging lens with just about any number of elements to give optimum performance for that criteria.
For example, the lenses used in fixed format, fixed enlargement machine printers might very well have been 3 elements, or maybe 8 elements, or ...?
The number of elements that end up in general purpose enlarging lenses most likely reflect the real life manufacturing and marketing compromises that the manufactures have to deal with, rather than the optical science realities that the designers dream about.
For instance, a 50mm lens that has its "sweet" spot at an 8x magnification is much more likely to be preferred by the hobbyist photographer printing primarily 8x10s than a custom printer who typically prints 11x14 and larger.
But that same lens may very well give as much quality to that hobbyist's 8x10s as the much more expensive 50mm lens used by the custom printer when he/she does 8x10s.
If you have a 5 element Meogon (I think that there is one) that is in good shape, well aligned and used appropriately, you may get prints from it that will satisfy everyone.
And you might be able to get the same very high quality from 3 and 4 element lenses as well, if used in the right circumstances.
If you plan to do production printing of 20x24 and larger prints, both black and white and colour, and you need to do that in a production environment, than you need the special purpose APO lenses. Just don't expect those APO lenses to assist you when printing your 5x7 prints.