Could dogs trigger the RAD in 2year old?

[MrsE1021]

My sons (2 and 4) have been on liquid albuterol since they were babies...never helped--just made them hyper but dr told me to give it when they were having colds etc--because they get colds and they go into their chests...SO they have been on it for years...I finally found a different doctor--put the 2 year old on Xoepenex and pulmicort for 2 weeks and diagnosed with RAD. Coughing at night is better, but still during the day...
She said he should never have been on albuterol all that time...thet if he doesn't improve in 2 weeks, we will be testing for allergies.
I have 2 dogs that shed bad-no matter how much I vacuum...I read that RAD can have triggers...and am thinking could the dogs be a cause? I'd rather find them a good home than have this turn into something more for my child...
Just wondering if anyone else has had experience with kids with RAD and pets.

[National Jewish Health]

The “different doctor” is right about the inappropriate use of liquid albuterol.  Not the best way to achieve therapeutic benefit from albuterol, for respiratory problems.  Reactive airways disease (RAD) is a term used by many doctors to describe airway hyper-responsiveness, cough and bronchospasm, at a time when the diagnosis of asthma has not yet been established.  And, yes, your 2 shedding dogs could well be an allergic factor causing their RAD.  A good therapeutic response to Xopenex® Inhalation Solution (levalbuterol) and Pulmicort Respules™ (budesonide inhalation suspension) can be seen as indirect, not definitive, evidence of the diagnosis of RAD/asthma, but you should proceed with the allergy testing to guide both treatment and prevention.

Good luck.