When you get ready to file an international design application (a “Hague application”) you have no choice but to try to figure out what to do about drawings, with the goal of (hopefully) satisfying the requirements of each Office that you are planning to designate.
In the early days of Hague, most Offices that belonged to Hague were “registration” Offices, meaning that they checked formalities but did not do much in the way of substantive examination. But in recent times more and more Offices that have recently joined are Offices that do carry out some amount of substantive examination. Perhaps the Office in which an applicant would be most likely to run into trouble would be the USPTO.
And indeed it is true that some Hague applications that designate the US have been running into problems because of the drawings.
WIPO, together with various of the designated Offices, have developed guidelines for applicants. You can see the guidelines here.
These guidelines should be studied by any applicant that is planning to designate Hungary, Japan, Kyrgystan, South Korea, Moldova, Romania, Syria, or the US.
Keep in mind that for a US applicant, one option offered by the Hague Agreement is that the US applicant could designate the US. (I call this a “hairpin turn”.) Such a US applicant should likewise study these guidelines.