With the latest 1.60 update, they removed the Storage Containers from freighters. They had now been replaced with Freighter Storage Units to be built instead. While this was a welcome change to prevent holes into space, looking pretty cool as well, they have an issue.
I assume they are supposed to work exactly the same, being accessible from any base, to send/receive items from. However, this is not the case, even though they do share inventory with the Storage Containers. I found the new Freighter Storage Units to only have remote access, if their equivalent Storage Container is built planet side (base).
I had grown used to having all my large storage (previous containers), on my freighter. I found building Storage Containers on a planetary base to be a pain, so I had none of them built elsewhere. After building the new Storage Units on my freighter, I was no longer able to access them remotely. I was now forced to actually pay a visit and interact with them on location to get/store items. However, knowing they DO share inventory with the Containers, I decided to place a couple of them at one of my planetary bases. Sure enough, all of a sudden I had access to those, not just at my planet-side bases, but freighter base as well, as it used to be.
Long story short, you can only access the new Freighter Storage Units ‘remotely’, if you have their equivalent Storage Containers built on a planet-side base. Having this storage on your freighter only, loses the ability to remotely access them.