I would think it would depend on the taste of the player and whether or not it interferes with other important playing techniques. I, personally, have gotten tired of some of newer bands where the "clucking" seems to the only thing I hear from the banjo player. This is just me as many find this appealing (and has attracted more players to the style; definitely a good thing!).
I've helped some of my students explore the "Big Cluck" but, once they start using it a lot, they seem to have a harder time "turning it off" and tackling more technically challenging pieces. This may be why many melodic oriented players stay clear from this technique (including me).
I do other percussive effect instead of the cluck. I tend to "thump" my thumb forcefully against the head when I want a drum effect. If I'm looking for a "cluck" sound, I mute the strings with my left hand. I don't really have the option of using the "Big Cluck" as it would require me to sacrifice my index fingernail, something that I'm not willing to do.
By the way, I like the term "Big Cluck". It distinguishes this technique, which uses a secondary right hand finger (index) to mute a string after a strike from the principal finger (middle), from the light "cluck" you get while playing over the fingerboard.
So in answer to your question, I don't do the "Big Cluck" but have been know to throw in the occasional "Small Cluck"!
Thanks... Mike