When it says "fallback text box" it means a fallback clickable bounding box for the editable text. When working with a .mogrt in Premiere, you are able to use the Type tool inside the program monitor to edit it, similar to the Type tool in After Effects. This warning appears when, for whatever reason, After Effects is not 100% confident there will always be a clickable region to use the tool on, such as with text layers that are empty by default, or animate offscreen. It's After Effects though, so it probably also triggers the warning if you fail to hop on one foot three times at precisely 8:42 AM.
This is why you can select a shape layer as the fallback text box; you are defining an on-screen region where your editor can click inside Premiere to activate the text for editing. This feature could definately have been described better; the fact you can select another text layer is confusing and implies it has something to do with the actual text in that layer. (and it does, in so far as that text defines the bounding box, but I think shape layers are more useful for this purpose)
You can safely ignore this warning, but adding the fallback boxes can be useful to your editor. For instance, I just created a lower third with an extra text line that is optional. Rather than a text control and a checkbox, I simply made it so if you leave the extra line blank, the design adjusts as though it isn't there at all. This triggers the warning, as an empty text layer has no bounding box for selection. I created a static shape layer, with it's visibility off, to represent the maximum allowable bounds for this text layer. This is what it looks like, in premiere, when I hover over that shape layer with the Type tool:
I also included shape layers for the other two text lines, to indicate their maximum length. Clicking these boxes pops up a little tiny text input that functions identically to the text input in the Essential Graphics panel, but this way the editor can see exactly what they are editing instead of relying on good control names. Assuming you actually put the box someplace helpful, and not off in the opposite corner or something.