Do Royals still address each other as "Cousin"?

Royals bow and curtsey toward other Royals except those lower than them in rank. They shake hands with those they are meeting informally, or who are equal with them in rank

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There is nothing on the royal website referring to a "cousin" greeting.

THE BRITISH ROYAL FAMILY
ORDER OF PRECEDENCE

Generally speaking, the children, grandchildren and great-grandchildren of a Sovereign, as well as their spouses, are members of the Royal Family. First cousins of the monarch may also be included. Children are included on coming of age or after they have completed their education. Precedence of the Royal Family at Court does not follow the line of succession. Thus, The Duke of Edinburgh takes precedence immediately after The Queen.

royal.gov.uk/ThecurrentRoyalFamily/Successionandprecedence/Precedence/Overview.aspx no longer exists

Kate downgraded: Duchess is told to curtsey to 'blood princesses' Beatrice
and Eugenie as new protocols push future QUEEN down the royal rankings
| By Sam Greenhill | Daily Mail | Published: 25 June 2012 }

In an effort to avoid conflicts, the Queen drew up the first Order of Precedence in 2005, after Charles married Camilla. Its effect was to change the order along 'blood lines' so that Princesses Anne, Beatrice, Eugenie and Alexandra - the granddaughter of George V - were all ahead of Camilla. The etiquette, though arcane to some, is taken very seriously by the royals, who bow and curtsey to each other in public and behind closed doors.

http://www.dailymail.co.uk/news/article-2163963/Will-Duchess-Cambridge-curtsey-Princess-Beatrice-Eugenie.html