Veterans will suffer from sequestration, even though the VA has avoided any cuts. A recent Washington Post article points to the programs and institutions that will affect care for veterans. Many organizations not affiliated with the VA, but still assist with housing and mental health issues, are facing cuts. One of the big victums of sequestration, the Post article claims, is the Labor Department's VETS job-training program. Also Defense Department programs that assist returning soliders fall under sequestration's financial axe.
For more on how sequestration will affect veterans, see Steve Vogel, "VA Dodges Budget Cuts, But Veterans Will Still Feel Effects of the Sequester," March 8, 2013, Washington Post, online at http://articles.washingtonpost.com/2013-03-08/politics/37546342_1_sequestration-cuts-homeless-veterans-department-of-veterans-affairs.