When Hedi Slimane took over the fashion house of Christian Dior roughly around 2001, the label on the clothes took on a new name of "Dior Homme". Thought it didn't take a direct affect when he took over....I think it started around 2003.
Before Hedi..I forgot who the designer was...some short fat bold guy...but anyways, the polo was probably produced pre 2001 before Hedi took over....because he changed the label name to "Dior Homme" instead. All the clothes produced under Hedi Slimane's era at Dior has a "Dior Homme" tag instead of a "Christian Dior" tag.
Dior Homme has polo's...they usually either have a Napoleon bee or a eagle type logo....not too sure about the Christian Dior polo's, but they should have a CD logo.
I wouldn't be surprised with the low price tag......they're fairly old...so they should be marked down...nothing is produced under the Christian Dior logo anymore since Hedi took over..it's all "Dior Homme" instead.
As for the CD polo's...hard to tell if it's real...you'll have to post pics...compare tags from real ones...honestly really tough.