> When referring to Church members, the terms "members of The Church of Jesus Christ of Latter-day Saints," "Latter-day Saints,” "members of the Church of Jesus Christ" and "members of the restored Church of Jesus Christ" are preferred. We ask that the term "Mormons" and "LDS" not be used.

... so in fact "Latter-Day Saints" is apparently perfectly OK, and "Saints" simpliciter isn't even one of the options they mention.

(But of course this is a guide for those associated with the CoJCoLDS, not an attempt to legislate what language others should use. I don't think you're likely to have much luck getting anyone else to refer to the doctrine and practices of the CoJCoLDS as "the restored gospel of Jesus Christ", for instance.)