I've been reading around, and judging from what I've seen, these two pet spells should behave more like swarm pets than regular ones; I've seen mention that they unsummon themselves at the end of a fight, which is what swarm pets do (or are supposed to do).
Given that you can't command the swords after they're summoned (like a normal pet), would this be correct? I'll admit my data isn't solid on this, and it's not too big an issue.
In addition, the pet summoned by Solist's Frozen Sword has no sword equipped - it's totally invisible.