Personally, I like the game changing every blind level and playing down to a single winner. Especially in HORSE because with the game and stakes constantly changing your get a chance to really experience regular and short handed play at a variety of games.
For example, at a full table when the game is Stud I do a lot of folding since I have done very little reading on this game and am not so good at it, yet shorthanded I can play a lot better because what little knowledge I do have works a lot better against fewer opponents. Yet with Razz, I can play at a full table comfortably.
And you get a lot of variance like that with each different player so it can be a really fun time. I have never had a home game of HORSE though, I am basing this all on my limited number of games in the online realm. Good luck!
