I've had some problems with recreational facilities in my current game, where sometimes they simply wouldn't work, and I cannot figure out the reason why. This applies for both mobile military ships, as well as stationary space stations with modules.
For example this carrier here has a recreational facility and was thus only bestowed with 3 months mission time, but here he is with morale problems...
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In the same game and slightly preceding this design, I also had a heavy cruiser of nearly same size, and also with some fighter craft docked, and whose fleet's morale would never go over 0.01, even while in flight.
This occurrence is especially strange since the ships are built pretty much in identical fashion. They have the same modules (same engines, recreation, tractor, hangar, magazines and ammunition, and even weapons) just with differently weighted focus, and they were even built in the same order, which is all parasite and escort craft first - then the capital ship. ..So build order doesn't play a role.
In fact I have seen this problem with absolute identical designs even, as can be seen here with a current screenshot of two of my oldest fuel harvester bases:
Those are exact copy-paste designs with the same build order where the specialized recreation module ship (here "ambrosia") was always built last when the harvesters where already in place.(..and because it takes significantly longer to build them despite being much smaller for some reason...)
...So it is neither build order(/ship number), nor a design issue. No idea what it could be otherwise... .
Btw., I have actually scrapped one of those recreation modules in the past when I saw it wouldn't work, and then the next one, -again of identical design-, would suddenly work.
I can also mildly remember that in other games, simply reshuffling ships sometimes fixed the issue, but I haven't tried that here yet. (might update that later)