It's all over the place for me. There are days where I get 0/3 of Toon X, 0/3 of Toon Y, and 0/3 of Toon Z, then the very next day, I get 3/3 of Toon X, 2/3 of Toon Y, and 2/3 of Toon Z.
I've also got a streak where 3 days in a row I get 1/3.
But here's something I noticed last night, mostly because I wasn't actively farming her. Aayla. I am Level 82, and I have 0/50 shards for her. One would think the odds in this game I would have gotten 3-5 by now from the many GW freebies and gajillion Bronzium pulls. Nope. Just zero. Heck, oddly enough I got 3/80 of Grevious from GW, most likely all or most of the 9/80 for Nute as well from GW.