No, I just don't think "both sides" arguments say anything really. Saying it is a non-point, a comment in lieu of actual argument. Or choosing "both sides" is taking no side at all.
Lots of people, including lots of Republicans, clearly believe it's an immoral policy to deliberately separate infants and toddlers from their parents, lie to the parents they're taking the kids to get cleaned up, then whisk them away, etc. But when you claim "both sides!!" you're trivializing the differences as nothing more than politics. I don't think that's really EVER true, and it's especially weak in a case like this.
Said another way, politicians and their allies take political positions, and try to use their positions to advance their interests, in either that issue or others. Well, that's like saying water is wet. So what's gained by saying "both sides" of a political issue politicize a political issue? It's like noting water is wet. In this case there is also an obvious moral and ethical and human decency issue, and if you're a thinking person, you should have an opinion on it. If you support separating families, including toddlers, it ought to be because doing so will somehow lead to a greater good and ripping families apart is somehow worth that good. Well, if you believe it, say why.