The 36-15 mauling by Ireland at Lansdowne Road on Sunday suggests that optimism was misplaced, but Williams reports his team-mates were never reading too much into their recent form.
"I know the country was excited. But this wasn't a 'reality check' for the squad, because we always kept everything in perspective," he said.
"The nature of the game in Wales means we are built up and then put down pretty quickly.
"But the squad never blew things out of proportion. We knew we hadn't yet played to our full potential, so we didn't rest on our laurels.
"We hope this will not be too much of a downer. We always knew it was a long road back - but we have been making huge improvements."