This year's event, which is run in partnership with the National Trust, has been advertised on merchandise in supermarkets as the Cadbury Easter Egg Hunt.
The chocolate maker, now owned by Mondelez International, was criticised last year by public figures including the Prime Minister for referring to the family activity simply as the Cadbury Egg Hunt.
Giving his reaction to the apparent u-turn, Christian and author on the relationship between society and religion, Symon Hill told Premier: "Of course, it's good when powerful institutions... listen to people's concerns, though I suspect they may just be avoiding controversy; it doesn't really cost them anything to do this."
Last April, Theresa May condemned the decision to drop the word Easter from the egg search as "absolutely ridiculous", while Archbishop of York Dr John Sentamu accused the firm of "spitting on the grave" of its Christian founder, John Cadbury.
A Cadbury spokesperson said: "We have used the word Easter in our marketing and communications for over 100 years and continue to do so in our current Easter campaign and National Trust partnership.
"Each year, we review our campaign materials and Easter products and make changes to keep them fresh and exciting and reflect what we know our consumers want.
"Part of this includes the naming of our Easter Egg hunt as the Cadbury Easter Egg Hunt – something we know is important to our consumers."
Click here to listen to Premier's Alex Williams speaking with Symon Hill: