Hi James,
Correct, the HB analysis creates an individual model for each respondent.
So when you create a simulation, the model runs this for each respondent and reports the aggregate results
If you were using a first choice approach to the modelling then it could be interpreted in the way you mention, but with share of preference its a touch more complicated.
This is because one respondent could have a 25% share of preference for your simulated product and a 75% preference for none.
If we had two respondents the other could have a 75% share of preference for the product and only 25% for none.
The average of these two respondents would be 50% share of preference, but in reality only one respondent would take the product over none.
So a share of preference is more easily thought of as the probability of the sample choosing the product, rather than 50% of your sample explicitly chose the product.