There are many drawback to using Drop-Shipping. You do not know in what state the goods are sent and they will not include anything at all bearing your name. I for one do not like using people who use dropshippers, you do not know this until goods arrive in just a plain box - most impersonal.
Also the dropshippers have access to your customers names which you have paid handsomely in advertising to obtain.
I am in the unhappy position of using a company for supplies who took over from a previous company who had to close. This current company also do dropshipping, but the label used to send the goods bears their name and address. Now as this current company also operate retail companies, it is not a good situation that they would have my customers names if I were to use them for dropshipping!. They may well circulate ALL the names of people they have delivered to giving "news" from their retail company.