Hm... I hadn't thought of puttinh it in the basket - immediate thought would be it would spoil the pressure profile of the shot as the sugar dissolves into the liquid and the puck collapses.
I use Natvia. It is a bit more expensive than sugar, (for some reason poisons are cheap in our world ) but well worth the cost. Because it is sweeter than sugar I use half a teaspoon in my coffee. Natvia has only sweetness as a taste so no after taste and once you try it you'll realise the cloying phlegm in the back of the throat is related to sugar, not the drink. Natvia is about 0.6 calories per spoonful - sugar is 16 calories per spoon. (so I'm adding 0.3 cals to my coffee)
I add it to the milk. Natvia dissolves so readily I have never had any residue in the jug; I think it might even dissolve in the cold milk before it gets to the bottom as I have once or twice managed to pour almost off milk into the jug before realising and tipping it out and no residue then either.
Only downside is a reluctance to eat desserts from cafés etc. The sugar in them can give decidedly strange feelings, from headaches to a jitteriness I have never had from caffeine. Funny heart beats and sick stomach sensations can also come from sugar. Sugar is a drug most of the world is addicted to, and getting away from it means withdrawal; in Natvia for the first time I found a way to do it without swearing off sweet tastes altogether.
The wife even makes triple-choc brownies with it. We estimate the calorie count per brownie drops from about 190 - 220 to about 65 - 75.