When using the very cheapest rosin, I had clumping at the end of the bow stroke.  I noticed a real difference when I switched to Jade, but then noticed a slight grainy sound. I have Andrea and find it is very silky smooth, so much so that my bow is wandering.  I now use Hildersine.
On cello, Jade is used first and then one swipe of a cheap bass rosin.

Lately I get the impression, the grab is not right there when I start to play. Which was the reason why I used more rosin as I do now. After warming up a couple minutes, the grab is getting better. So I wait before I really take more rosin. I also used Jade with Dominant strings, but right now I have Obligato and since Jade didn't do well anymore. I bought the Pirastro rosin meant for Obligato strings then, assuming, if they make good strings I'm supposed to trust their rosin. I heard a lot of good things about Andrea and maybe one day I will try that too.

Any experienced player and all the violin teachers are like, "Throw cheap rosin into the garbage can!" So why shouldn't I trust that advice? And why should I waste time on even pondering it any longer? Good strings are expensive, good rosin not really.

I am now waiting as long as possible with taking rosin. Today it must be over a week ago when I touched my rosin. I'm not going to teach, but having watched myself developing, I would tend to allow a beginner to take more rosin than I consider necessary. But I would certainly explain, that less is not just possible, but also better for the sound. It did help me though, to take more during the past months, because it's easier to find the right notes on the fingerboard if the grip is always there, even if the bow handling is a bit incorrect. But now it's time to improve my bowing by taking away that superfluous rosin.

Just my two cents on the topic...

As @Fiddlerman said, one of the most important aspects of the rosin issue, is its being fresh. Plus, it smells way better

I cannot tell there is some extraordinary difference between brands and models, or something that dramatic that would put some rosins to a whole new universe or something. As long as they come from a descent manufacturer and they are fresh, the can get the job done...

We could stress the issue of dark, and light rosin. But since there are so many recipes out there, one may find something that they really like. Generally I would believe that a dark rosin would be stickier than a white. And then I tried the Evah Pirazzi Gold rosin which is not at all dark, and a I was stunned by it's stickiness...the exception to the rule maybe?

A friend, a double bassist mentioned that in the summer when it's super humid, he uses lighter rosin...I didn't feel the need to change however since most places are now air conditioned...

For the record I have settled with the Pirastro Eudoxa rosin...Honey colored, sticky and it smells great...I always loved dark rosins however, in my childhood I used the Hidersine 6V (black, almost green...) then I moved to the Oliv-Evah and now to the Eudoxa...

@demoiselle Sometimes I notice the same think...I think this happens because rosin sometimes need a little time to warm up too...I guess when it's warmer it gets stickier...

@demoiselle you're right I guess... besides the structure, I guess that playing the instrument a certain way, distributes the rosin in a matching pattern with the playing, so it helps...

I have experienced the leave-the-instrument-and-play-again-later leading to more comfortable playing many times. Maybe besides the rosin part, it's the wood itself, the instrument adjusting to the conditions of the room...

I like calling this process "waking up" the violin, I've heard that before...After all, it's wood. It was once alive.

Another way like the 16th notes you mentioned could be open strings, or scales -arpeggios, utilizing the whole length of the bow

@demoiselle glad you figured it out...If your D is harder to respond than the rest, it could just be a string issue. Many brands have options for the D string (silver wound vs aluminum wound) and moving from one to the other sometimes does a great job...