It would probably be sonically preferable to connect the "tape out (rec)" output of the 1130 to the Aux (or any other line-level/non-phono) input of the new preamp, rather than using either of the main outputs of the 1130 ("normal out" or "high out").
Using the main outputs of the 1130 would introduce unnecessary circuitry into the signal path, including the 1130's volume control.
I do exactly what you are proposing in my own system, connecting the tape output of a preamp which includes a phono stage to a line-level (i.e., non-phono) input of a preamp which does not include a phono stage.
Situations in which it might be preferable to use one of the main outputs of the 1130 rather than the tape output, however, would be if the length of the cables between the two preamps were unusually long, or if the input impedance of the line-level preamp were unusually low. In those cases the considerably higher output impedance of the 1130's tape output, compared to the output impedance of the main outputs, might make it preferable to use one of the main outputs.