Well my experience:
1. Service: Chinese rubber generally better for backspin and pendulum serves. Reverse Pendulum is easier for me with European rubbers as you need to give the ball forward momentum.
2. Receive: Drop Shot: If you are early to the ball then Chinese rubbers will help you keep the ball nice and tight. If you are like me and wait an extra millisecond or two to be extra sure what spin is on the ball, then it's easier to push the ball short with European rubbers. Forehand Flicking is easier with chinese rubbers as you can just power through the ball and the ball clings to the rubber. Backhand flicking is easier with softer euro rubbers as the ball can sink into the sponge. You can put more backspin with a chinese rubber on a long push without fear of it going out of the table.
3. Looping over the table is generally easier for me with Chinese rubbers as it is so precise. You can just brush over the ball and loop anything that is slightly long or high. Looping falling balls is easier with European type rubbers. Counterlooping close to the table is easier for me with Chinese rubbers as the ball won't slip through but once you take a step or two back from the table, you have better margins with non-tacky rubbers as well as a safer arc.
4. If you are not in position, it's hard to get a good shot out of a tacky rubber as the rubber doesn't have catapult. If you are evading the ball and trying to play a stroke, it's much more likely that you will play a better stroke with Euro-style rubber.
5. Smashing is infinitely easier with European type rubbers. On flatter strokes, the tacky topsheet is sensitive to the spin on the ball. Also, you will have to really put a lot of power into the stroke because the ball will come off slower from a tacky rubber.
6. Passively blocking is a lot easier for me personally with tacky rubbers compared to harder Euro stuff. I don't know why exactly but it seems like I can get the angle approximately right and the rubber with absorb the spin and speed of the opponent.
In the end I decided to use a medium-hard non-tacky rubber on the Forehand. Though I certainly miss blocking and flicking with a tackier rubber, I have less aches after training and the other benefits make it up for me