If the only way you could contract is by mouth, maybe. It appears you can also contract through your eyes. Do you plan on rinsing out your eyes with alcohol when you return too?
https://www.allaboutvision.com/conditions/coronavirus-transmission-through-eyes/Also, if you breathed it in, odds are it likely made it to your lungs as quickly as it made it to your mouth/throat.
I am not a doctor, and I did not stay at a Holiday Inn last night.
P.S. Gargling with alcohol to prevent contracting COVID-19 seems a lot like washing 1 hand before preparing food. Sure it would help, but is not as good as washing both hands. The masks catching the virus as it exits one's nose/mouth, before it goes airborne, is the best way to prevent the spread.