I would say they settle quite a lot.
I’ve found that over time, and maybe adding more sealant, they tend to improve markedly. The 6 wheels I have on the go with mtb tyres that were new last year all needed a top up if left for more than a week or so for the first few months. Now I think all of them I’m happy to leave longer. I suspect that it takes a longish time for the sealant to take care of some of the little holes or porous nature of the tyre. I have some tubeless tyres still holding air after being unused for over a year.
I have sometimes just increased the sealant quantity in a tyre and I think that’s worked. In your shoes I’d do that straight away.
In the end I think tubes do hold air better over time but I think I’d still be checking them the same.
My gravel tyres the same applies to to some extent but after more than a week they always need a top up.