The second form begins with an affirmed excellence. An exception particle or similar connector then introduces another excellence of the same subject. What looks like a qualification is additional praise.
Unlike the first form, the statement does not start by denying all faults. It starts with a recognized virtue, then extends the praise into a further quality.
Particles such as *illā*, *siwā*, or *lākin* can serve this rhetorical effect when their context supports it.