I don't even know how to respond to this question really.
First I guess I need to know what method you think the deer use to tell time. The rich deer have cell phones and the times on their phones will change automatically. Now the poorer deer in the woods probably have an older watch that doesn't change automatically so they probably don't follow DST. Unless they happen to catch the news this weekend and are reminded to set their watches back an hour.
Needless to say I am guessing that the deer will not pay any attention to daylight savings time. If you are consistently getting pictures of the deer 1/2 hour before dark (no matter what time that is where you are) then he will likely still be moving at the same time of day, half hour before dark.