Off licences round here definitely don't sell food except for maybe crisps.
I'm not actually saying I agree with him, I just don't think he's that awful for suggesting it. There are lots of churches here that I could walk to as part of my daily exercise, so no need for an unnecessary journey. I'm not personally hugely religious but I can see that it would be a comfort to some people.
It's probably right to keep them closed though. It's the start of holy week in the Catholic church tomorrow, so if churches were open they'd probably end up very busy.
Thankfully most religious leaders are being sensible and encouraging their parishioners to follow the official advice. Our church is livestreaming services on YouTube!