The version 1.3 patch for the Xbox 360 version of Fallout New Vegas apparently did have a number of stability problems that affected many players that led to system crashes when they were loading save files. The issue has now been fixed and the team at Bethesda Softworks says that it is safe to download.
However, Bethesda did issue a warning that users might want to hold off until the patch was fixed. Now that the problem is being resolved, it is a recommended patch that Xbox 360 players of the game should apply.
Right now, the 1.3 fixed patch for the Xbox 360 is only available for the English version of the game, but other language versions should be available soon.