It is all a matter of personal taste. Horn "coloration" can be a problem if the horn is not designed correctly. I do not know what "shouty" is.
The speakers the OP mentions are not horns in the classic sense and whizzer cones are out of bounds as far as I am concerned. The Charney in particular looks wonderful but is poorly designed from a woodworking perspective as they are cross graining wood that is too thick. In environments that have a wide range of humidity's like we have in New England the wooden faces might crack. Maple in particular is a very bad wood to do this with. You might get away with mahogany as it's expansion coefficient is very low as is Teak's (that is why these woods are used in boats) The Rethm speakers are a similar but less flamboyant design that looks like it is made from synthetic materials, can't tell. But, it also uses a whizzer cone.
I think the OP would be better of with a more classic design from Kipsch or JBL. They are not as cool looking but this is supposed to be about sound not looks.
The speakers the OP mentions are not horns in the classic sense and whizzer cones are out of bounds as far as I am concerned. The Charney in particular looks wonderful but is poorly designed from a woodworking perspective as they are cross graining wood that is too thick. In environments that have a wide range of humidity's like we have in New England the wooden faces might crack. Maple in particular is a very bad wood to do this with. You might get away with mahogany as it's expansion coefficient is very low as is Teak's (that is why these woods are used in boats) The Rethm speakers are a similar but less flamboyant design that looks like it is made from synthetic materials, can't tell. But, it also uses a whizzer cone.
I think the OP would be better of with a more classic design from Kipsch or JBL. They are not as cool looking but this is supposed to be about sound not looks.