Horizontal hives can work just fine. Think of all the bees that end up between joists or other horizontal spaces. While a horizontal deep can work fine, I think a bit deeper might work even better. Someone had made frames that were a deep and a medium. I’m sure layens would also work if you can lift them out ok.
I used to have some top bar hives and I got bees to overwinter in them quite successfully. I stopped, though, because they’re a lot more tedious than langs. Now that I have 50 hives, I can’t take that much time on individual hives. They also tend to be more apart for mice to get into over winter, so be sure to have mouse guards.
One thing that someone told me way back when, that seemed to work well is that the bees need to start winter on one end or the other with honey on one side of them. If they start in the middle of the hive with honey on both sides, they get indecisive about which way to move and will starve or split the cluster. So, in the fall I would move all the honey to one side of the cluster. For that reason, I also preferred the entrance on an end rather than the side.
The other difficulty is that many horizontal hives are not designed large enough for booming hives. If you look at my yard, I have some hives that are 10 boxes tall. That would be a VERY long horizontal hive. This is where some people will put boxes on top. It lets you ‘super’ the horizontal hive with normal supers to remove before winter. If you don’t want/can’t do that, you’ll just have to be more proactive in splitting, harvesting or otherwise limiting the size of a booming hive.
All in all, there are some differences in how you need to manage a horizontal hive, but it is certainly possible.