Personally, my horse refuses to stop without having both eyes interlocked with mine. So he'll do that too, keep walking until he can see my face and he'll try and point his chest at mine and stretch out to me. Least he used to but now we're working on stopping when I ask, in the same position (not turning on his forehand) so now he just keeps one ear cocked on me.
It could be a respect thing, a personality thing, a trust thing.
Either way as long as it ends on a good note and you aren't in any form of danger, it's all good!
"Strength is the ability to use a muscle without tension"