its perfectly natural Mark but chances are, as far as i understand it, you've probably already got the virus in the house one way or another
if you were worried about accidents could you put a plastic sheet under the carrier and then just throw it away, I do understand why you are worried, my oh is same which is why I have the shoe spraying ritual! He even came to the vet with me to take her advice on what I would be bringing back with me from the cattery illness wise! Corona wasn't high on her list of priorities I have to say, the main thing is that when it does go bad, it goes really bad and that is why people are so rightly afraid of it
if it was me I'd do it but you must do what is right for you