It wouldn't be entirely their choice, as the environment they exist in fundamentally shapes how people feel about the world. As you move through the world now there are lots of physical symbols that generate fear - perspex screens, masks, signage, etc. They are designed to protect people but they do also reinforce a culture of fear. In a survey of 5,000 people in the UK just a couple of weeks ago, 60% said they would submit to indefinite lockdown if the government continued to signal it was necessary for public safety.
As the lockdown is relaxed, all of those physical symbols will still exist and it seems possible that will keep people fearful long after the government changes its messaging. If that is the case the knock-on economic effects could be huge, and millions of jobs could be lost on top. At which point people will ask whether some of the steps taken that generated that fear were misjudged. When police were publicly shaming people for long walks in remote spaces, it got a lot of support from many. As time goes in it seems increasingly clear that this really wasn't risky behaviour, and all it did was reinforce a total fear of the outside world for many.
Authority figures in many instances have created and strengthened that fear, so I don't think it's entirely true to say people have chosen to feel that way. After that point it isn't as simple as flicking a switch and saying I'm not scared any more. Especially for those suffering from anxiety, which by some measures was already at unprecedented levels before the crisis. There have already been signals from the government that they think they may have instilled a little too much fear, and I reckon it could be one of the key questions of the next few months. If only 1 in 3 people decide they're ready to go back to the shops, cafés etc., as they're saying currently, places will go bankrupt very quickly. Two-thirds of those places are "independents", and 96% of UK businesses have fewer than 10 employees. That is people's livelihood disappearing, not just losing a job. There are always unintended consequences and this could be one of them.