microweave basically uses more passes to lay down the dots. Thus the paper steps through more often at smaller increments. The net effect is near 2880 dpi quality, because it is putting dots in places that would happen with 2880 but wouldn't with standard 1440. This isn't affected by uni vs bi directional, it is applied in in the direction of paper travel.
Personally with a well aligned head, the quality should be the same uni vs bi-directional, unless perhaps using a loupe ... and even then it should be tough to tell the difference. Micro-weave off vs on is another story, and for high quality printing 1440 with microweave and 2880 are the only two options I would ever use.
The only downside to using microweave is printing speed, since the printhead makes more passes across the paper. I believe it still uses fewer passes than 2880, so it makes the speed somewhere between 1440 and 2880.
Did you try tweaking the paper feed adjustment?