To answer your question, it is important to specify if you mean the temperature inside the suit or on the outer surface!
The main purpose of the active coolant system is to conduct the thermal energy the astronaut (as every person) is "producing" out of the suit. (Comparable with wearing a thick jacket in summer: it is getting hot because the energy your body makes cannot "escape" to the environment). The internal cooling system is designed to keep a constant temperature inside the suit so it has to cool about 150 W the astronaut is producing.
The outer surface is designed to reflect most of the thermal radiation.
(https://en.wikipedia.org/wiki/Thermal_Micrometeoroid_Garment). Of course most does not mean all so there is thermal energy absorbed by the suit.
This absorbed energy will heat the outer surface of the suit. BUT, by heating the outer surface more thermal energy will be radiated by the surface.
SO, there will be a temperature where the absorbed and radiated energy and the heat flow from/into outside reaches an equilibrium. So (first ignoring the heat flow into/from the inside) being 231 million km away from the sun means the equilibrium is at a lower temperature than 149 million km away from the sun.
As pointed out, there is still the topic heat flow into/from the suit. It is not possible to answer this question without knowing details .... and I really mean details ... about the suit, ... but, as an engineer I would assume this flow to be negligible small. Especially because the suit is insulated to prevent this flow.
Sorry, no better source available but "the engineers feeling"...