You can use a single generic HUD with basic stats for any game, but you'd get more out of it if you tailored your HUDs to the game you play, i.e. cash vs tourney vs HU, because some stats are more important in some games than others.
You can configure HEM to auto-select the HUD based on game type, but only along those lines above (plus I believe NL, FL, or PL). We've been asking them for awhile to take it further and allow separate HUDs for 6-max vs FR, SnG vs MTT, etc. Hopefully they'll add that one day. They have recently improved the tourney HUD a bit by adding a new popup which breaks out stats based on stack size.