The history does not record the 2nd+ lines of '^' escaped lines --

[aabatpurdue]

echo HI ^ more? HO HI HO

Only the "echo HI ^" is recorded. Actually, the 2nd line seems to be recorded by doskey. Don't know what happens to the 3rd+ lines.

[chrisant996]

For better or worse, that input doesn't go through clink. It isn't just that history doesn't record it, also no other clink features are active in the "More?" prompt.