the owner of the watch can set the solar hand himself. If the owner sets the true solar time correctly for a certain longitude, and the watch 'knows' the EOT, the watch will indicate the true solar time correctly just as long as the owner stays on the longitude he set the sun hand for (That is if he checks the watch against a sun dial at a different longitude the true solar time will not be indicated right for that location). In that case the only time the difference between the minute hand and sun hand is the EOT is when the watch was set for a standard meridian. I would prefer it when the sun hand indeed can be set by the owner, because at least the owner would be sure the sun hand is indicating solar time for a particular longitude. It would be nice though if the watch would also have a true EOT indicator, come to think about it Blancpain has such a watch isn't it?
Regards,
Joram