Actually now that we've added the arrows to re-order the conditions, that would make supporting the OR'ing of conditions more feasible.
Up to now conditions have all been AND'd together, but perhaps we can add a grouping separator into the list so that only one group of conditions has to test True for the rule to trigger.
i.e. We'd be able to support: (a AND b AND c) OR (d AND e) OR (f AND g AND h)
(letters representing different conditions that you've configured)
So the conditions list might look like:
a
b
c
<OR group separator>
d
e
<OR group separator>
f
g
h
Would that be useful?