The minimum and maximum interpass temperature is dependent on the base metals being joined and what you are trying to control. Maximum interpass is controlled when welding austenitic stainless steel possibly to control sensitization. In the case of carbon steel, grain size may be influenced by limiting the interpass temperture below a certain maximum temperature due to the influence grain size has on notch toughness. In the case of heat treatable aluminum alloys, time at temperature can adversely affect the mechanical properties.
There's no rule that fits all situations.
Best regards - Al