actually, I've always used low valued R's in series with the + line before the caps if there is a feed back for regulation involved. Still keeping with the low ESR caps nets good results.
This expression does not imply that "...the ripple current in the capacitor is not greater than the output current...". It merely implies that both the ripple current in the cap and the output current are less than the secondary RMS current.
For example, suppose Isecrms = 5. Then either (Icaprms = 3 AND Ioutdc = 4) or (Icaprms = 4 AND Ioutdc = 3) will satisfy the expression.
Having recently revisited rms summation, I see your point.
RL
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