When should I use "see" vs. "refer"?

I have this question on using see and refer in technical documentation especially for cross-references information.

I use see when mentioning another section in the same document, for example, for more information on xyz, see section abc on page nn-mm.

I use refer when asking the reader to see an external document or any appendices, for example, for more information on xyz, refer to the ABC Guide or for more information, refer to Appendix A.

My colleagues and I have a disagreement with this logic. They seem to prefer see for everything. As a cross-reference is more like a footnote and also acts like a footnote.

Is my logic correct?

Both are actually correct. The OED has:

The imperative see is used in books to refer to a passage in the same or some other work in which information will be found.

for see and:

To direct the attention of (a person) to a source of information (in earlier use chiefly a book).

for refer.

So it's really just a matter of preference.