That said, you are fully correct that the non-zero costs of moving would still give landlords a little leeway to rent-seek, and I’m curious what solutions may exist to remedy that.

I think the remedy for that has to be a little more intentional than leaving it to the effects of a LVT. Corporations should not be permitted to own any form of housing. Multi unit residences should be co-ops/non market housing. If there isn't enough, then the government needs to make more.

So individuals can still own houses, and medium/high density housing is still affordable/plentiful enough.

There seems to be growing sentiment (at least on the internet) to get corporations banned from owning housing, and that's good. But it still needs to pass the hurdle of legalized bribery and our congress failing to represent us. A given policy has 30% chance to pass regardless of public support or disapproval. And policy that benefits the rich obviously has much better chances of passing. This problem within congress is a huge blocking point.

Regardless of whether it 100% solves landlording, I do think LVT and YIMBYism do largely solve real estate “investment” as the meme talks about. Since LVT and abundant housing stop the “line goes up” phenomenon, and LVT in particular punishes real estate speculation, I think they would largely, if not entirely, eliminate the phenomenon of people buying up land/property just to resell later after appreciation. Because, well, housing wouldn’t appreciate under a sufficiently heavy LVT and a strong YIMBY regulatory environment.

100% agreed.