I don't think most people would, in an innocuous context, automatically connect the made-up term 'bah-humbugger(s)' with the term 'bugger'. Would they?

Btw, I don't think the term 'bugger' is used much in Canada these days. When I was a kid, it was not unusual as an obscene insult (e.g., 'stupid bugger'); never in polite company.