Chickens do love eggs!
Once a hen has tasted fresh egg and found it to be “good food” she may start breaking eggs intentionally in order to eat them.
Technically, stative verbs like "love", "like", "want" etc. should not be used in continuous form, since they describe an ongoing state to begin with. However, this rule of thumb is becoming increasingly disregarded, so in the future "is loving" may possibly become standard.