It's possible. We
try to match the sets, but it's never perfect and it's never along every dimension (even in the 1-6, it's starting to look like one set is a bit different...)
But, the biggest aspect about them differing along multiple dimensions is what the subject perceives. If the subject thinks the task can be solved by just looking at the location, then they'll adopt that strategy. Given that: a) there are still many dimensions that change, b) subjects really aren't that perceptive, and c) they'd need to know these dimensional biases before the study phase to enact a strategy, I'm not terribly worried. Heck, I remember back when we all did blocked fMRI designs how we'd do things like blocks of targets and foils but have it be say an 80/20 mix for 10 or so items. So 8T+2F, 2T+8F, 8T+2F, ... Not a single participant ever picked up on the notion that these weren't randomly distributed in there.
Craig