France is an important member of NATO and the EU. French military support will be important in the case of another conflict in the middle east. Iran is becoming more bellicose every day. The strategic location of a military base in the United Arab Emirates is a good idea for insuring stability in the region.
I personally feel France did not do any wrong by opening up their Military Base in the United Arab Emirates. As long as they received the okay, and came to a mutual understanding with the other party of course; then I do not see anything wrong, nor do I believe this could cause any potential issues in the future.