In Germany we have a very different culture. You come at eight or nine and leave at four or five, you have your break but otherwise you're basically supposed to work. I have a hard time believing that cutting an entire day out is going to increase productivity a lot.
Our company is in the same region of Germany and we independently started experimenting with our work time but our focus was employee well-being via stress reduction and encouraging our employees to use the extra free time for self-care.
We ended up with a flexible 25-40 hour work week (or similar 60-ish % adjusted for non-40 hour positions). The goal is to keep each employee's work hours as close to 25 as possible but allow for "overtime" (up to the full 40 hours) if necessary. If we notice employees are working "overtime" over a longer period of time, we rebalance the work load or adjust timelines as possible to get them back to 25.
Despite the reduction of work hours by 30-40% the effective work output only shrunk by 10-20%. But the real benefits are social.
I think some label that temporary boost in reaction to novelty as the "Hawthorne Effect":
Why not just give everyone an extra random day off a year. At the beginning of the year there is a draw to pick the next random day off from the work calendar. Make it into a public holiday. Random Day!