Good question.
schmellba99, zanemoseley,
The turret press has some advantages over either single stage or progressive. Each type has its strengths.
"you just trade it for a lot of turret turning" If you have a turret that advances to the next die with each stroke of the ram, this is very convenient. But even a manually advanced turret allows you to avoid the multiple insertion/removal hand movements. This, of course is less of an advantage to rifle reloaders who need to perform off-press operations in the middle of the loading process, but straight-walled cases often do not require this.
Turret presses' operations are simpler to monitor than progressives (only one step at a time to watch). The presses are less expensive, too.
Like you said, schmellba99, "To each his own." Whatever gear fills your needs best is the best for you and we all have differnt needs. Turret is a good compromise between speed, simplicity of operation and purchase price....for me.
As to why Hornady does not offer a press to compete with Lyman's, RCBS', Lee's (are there others I forgot?), perhaps they do not see a market niche that is not yet served. Establishing a new line is expensive.
I do see a potential for a linear turret where the dies would be lined up on a bar of die stations. The bar would assemble from individual die stations, so the user could have two, three, four, five or more stations at will. The bar would automatically advance (but return to station 1 would be manual). Lee's limitation of 4 die stations is thereby solved and extra, empty stations would not be an issue. (One was offered decades ago; someone sent me a picture once, but it was not as sophisticated as the one I envision.) I doubt there is enough of a market for my idea, though, justify tooling up.
Lost Sheep