This, absolutely.
Really sorry if I'm missing something in the brush settings here folks, but as Sullyman says, some sort of offset randomisation (having the texture align seperately and 'build up' with each brush stroke, rather than appearing as a static, repeating pattern 'cut into' the painted area) is an absolutely key feature that would REALLY open up the brush options for digital painters and give the brushes a pretty much limitless potential for variety, control and natural feel.
Personally, as someone who likes creating their own brushes, this is genuinely the only thing that's currently preventing me from using either Designer or Photo as my 'big' goto app.
The most direct examples I can think of to illustrate the point are the 'Per Tip' and 'Offset Randomness' options in Sketchbook Pro.