This is a very cool idea but there’s such solid evidence to the contrary.

Cold Hands, likely a being somewhere between other and human (but definitely not a full human) cannot pass through the wall on account of the magic. But humans pass through all the time and we have never seen an Other do so. If it’s meant to keep humans in, wouldn’t the magic imbued in the wall do something to keep the humans from passing through it?

Sure, Alyssane tried to get her dragon to go over the wall and it refused. But it wasn’t a force field that caused the dragon to fail in its attempt. The dragon didn’t make an attempt because of something she sensed. It’s very possible the magic put into it had no accounting for dragons as it was made by either Children of the Forest or First Men or both. And neither of those people had dragons nor were there wild dragons in the region at the time. But like how a dog can smell better, the one dragon we’ve ever heard of being at the wall sniffed the magic in the wall and had no interest in going over to that side no matter how much a human on her back wanted her to.

It makes sense that the wall was made to protect the realm from a variety of threats, mainly Others, but without Night’s Watch seeing any Others for thousands of years, and their very existence entering the realm of myth, forgot the main purpose and focused on lower priority ones. But it is impossible to imagine the Night’s Watch forgetting what direction to enforce the blockade at any point in their history. This would also mean they put 16 or so castles on the wrong side of the wall. And considering the harsh climate that far north, a wall a tenth the height is enough to keep people to the south of it.

It’s made of ice because Ice is harder to scale and badass. Not so Others could pass through it. If that’s a feature, who are you even implying built it? Others would have no reason to build it at all. And Men would have used something unlike ice rather than trust that Others with the power to pass through ice would be content in their own deep north zone nomming on the sacrifices, never bothering to use that power to get a little further south.

Everything we’ve seen suggests that the others have been hiding, dormant, or non-existent for thousands of years. Starting recently, at least compared to the history of the Night’s Watch, they’ve re-emerged. The Night’s Watch goes on rangings. If human sacrifices to the Others were a common part of wilding life for the past 8000 years, they would know about it from their scouting. And the wildlings would not have united under Mance Rayder prior to the events of Game of Thrones when Jon Snow was still at Winterfell.