Condensing Coil before and/or after TRS 21

Hey gang,
The way I understand it, you can pump liquid through a TRS21 at a much faster rate than you can a gas, I have several condenser coils hanging around, am I wrong in thinking it makes sense to chill the solvent going into the pumps as well as after? Are there variables I need to be concerned about like making it too cold? I feel like this is clearly fine but I wanted a sanity check I appreciate the help.