I think you are probably right. I think I'm going to have to restrict any activity that requires interaction with other people or their hands.
Oh dear. 
Actually though the logic does stand up, a bit, in that people not washing their hands would then be touching all our door handles, bannisters, and anything else between the toilet and outside, which would mean I'd have to go and spray everything.
I really don't like the idea of it. But I am anxious about stuff like that.
One time some ebayers came to collect something from my house, and when they arrived they said their toddler had been sick in the car - could they have a damp cloth? I got them a damp cloth, and some spare clothes for the little one, but I felt bad for not letting them in and so on - if I'd been a nicer person I'd have said come in, give her a wash and have a cup of tea etc.
The thing is I go sort of catatonic when my children are sick and it has a big impact on our lives temporarily, so it would have been too much for me to deal with. I hate that, I wish I didn't care about these things.
They didn't ask to come in and were nice about it and so on, I emailed them later to apologise for not inviting them in, and to check they were Ok.
I still feel bad about it now.