If homeopathy had a different name it wouldn't be nearly as popular. People see it and they think "Oh, it's a home remedy because it says HOMEopathic."
There's plenty of home remedies that are at least marginally effective against colds: Hot water with honey, ginger, and lemon, for example. But homeopathy is not that. It's diluting something over and over again until there's nothing left of the original substance, and then selling it to gullible and/or desperate people like it's going to work.