Well, first of all it depends on the style you choose; many of the Tyros 2 styles are really tasty, and of course this depends on the person who programmed them.
In the second place, if you think that a style is too busy (overarranged) you can mute one or more tracks at will and save the result as a registration: this way you are free to play manually (in real time) the missing parts.
In the third place, speaking of "boom-cuck-ah", this is a limit of all the arranger keyboards: no matter how carefully you program a style, it will never sound like an ensemble of live musicians, who never play a song (or a part of it, for that matter) exactly the same way twice.
Arranger players that allow you to sync a wav loop to a style sound more authentic, but even so there is a limit to the amount of "authenticity" you can program within a style, and this limit is given by the memory of the instrument.
On the other hand, what is the alternative? Playing with a group of real musicians? Of course this is an entirely different experience, but one that is not always feasible and for many different reasons, both practical and financial.
This subject has been discussed already in the past and different points of views have been voiced.
If even professional players choose today to perform as one man band, there has to be a reason...