Obedience never produces love, but love will always produce life change. (Source unknown)
While this statement might be true, it can surely be said that obedience can be a strong evidence of love. Disobedience demonstrates a lack of love or respect for the one being disobeyed. Moreover, if you exhibit true love, you will see a change in life. We should obey not because we have to, but because we respect those who are in authority over us.
And this is love: that we walk in obedience to [God’s] commands. As you have heard from the beginning, his command is that you walk in love (2 John 1:6).