My 2-year-old's pediatrician gave me budesonide inhalation suspension to take care of his weezing. isn't that usually used for asthma?

Yes but: Yes, however, it can also be used for croup and other respiratory conditions. In a survey in the new england journal of medicine, half of all 3 year olds had had at least one episode of wheezing in their lives. I am therefore reluctant to give the diagnosis of "asthma" to any child under 4, because that would mean that roughly half of my patients have asthma!

Both: Yes, but asthma means that the child wheezes.So treatment for asthma and wheezing can be the same.

Whatever you call : It - asthma, bronchitis, wheezing , reactive airway disease, Budesonide is given to help decrease the swelling / inflammation in the lungs.

Yes: Budesonide is primarily used for asthma prevention to keep lung inflammation under control.