If you're doing multiple targets, there's no reliable way to print the recipient, which can lead to overlapping raises if multiple people are down and the other raiser can't read your mind, especially when everyone agrees about the priorities. You can work around it by letting the other person cast first, then using a manual target; or agreeing beforehand who casts first.
For reference, there's a <lt> or <lasttarget> tag that will print the name of the last thing you untargeted (by deselecting or by targeting something else). Sadfacedly, it won't print the name of the last target you performed an action on, unless you also hard targeted that person, which would defeat the convenience of a RaiseAnyoneWithoutChangingTarget macro.