We've been working with a breeder and had a pup selected, but this puppy has turned out to be a short haired one. We've seen conflicting views in our searches for more information about short haired Havanese regarding their hypoallergenic and low shed qualities.
Our breeder mentioned something about different lines of Havanese, stating that not even all standard Havanese are truly hypoallergenic and low shed, and that a short haired Havanese produced from her dogs might have a greater chance of having some of those qualities.
Any creature with hair will shed it, including you. Ever look at your bathroom floor after blowdrying your hair?
The difference with the breeds that are considered "non-shedding" is that they don't lose their hair in clumps like other dogs that have the bushy undercoat. Ever see an Akita shedding? That's a nightmare. I ruined a new vaccum in just a couple of months in trying to keep up with the regular shedding, never mind the huge shedding that happens twice a year!
A short-haired Havanese is not considered to be a non-shedding dog like the rest of the breed is. It will shed, and I believe it produces dander like other dogs. If you are specifically looking for a dog due to allergies, you do not want a short-haired Hav.
There is one breeder on this forum who is much more familiar with the short-hairs and may be able to give you more details if you'd like. She doesn't post often though, so feel free to click on my name (to the left) and utilize the e-mail option or the private message option. E-mail is better. I can forward a message to her if you'd like to see if she can answer you more specifically.
And yes, all Havanese lose their hair. You'll see it on your clothes, especially after grooming them. Some of them do lose their hair more than others, so I agree with that breeder on that point.