Great, thank you for your detail informations, just what I needed. I'll checked them one by one.The GW-M5600 with module 3063 (Multiband 5) shows current time in the timer mode (TR) but it doesn't shows the time in stopwatch mode (ST). However, it shows again the time in the Alarm mode. This watch is solar and has an Auto EL.
The G-5600 with infamous module 2597 also shows time in timer mode (TR) as well as in the Alarm mode but not in the stopwatch mode (ST). This model is also solar and with auto EL.
The DW-56RT (the Referee timer) with module 2991 shows time in all modes (TR, ST, alarm and dual time) however it is not solar and does not have an Auto EL.