Since my job involves a lot of Unicode stuff, I personally would have been confused if it had been called the CLDR, thinking that it was referring the Common Locale Data Repository. (I have to look something up in the CLDR about once a month on average).
And since the Common Lisp Document Repository appears to have been created in 2006 (the first document at https://cdr.common-lisp.dev/index_files/final.html is a description of the rationale for its existence, dated August 2006) while the Common Locale Data Repository was created in 2003, the Common Locale Data Repository had the CLDR acronym first. So kudos to the Common Lisp Document Repository folks for not overloading the acronym but finding an alternative.