Still use Pokemon Home? Well, it's slowly morphing into a more function app, due in part to the most recent update: 1.2.1.
Live now on mobile (and likely Switch at some point today), the new patch quite literally patches up some lingering issues, mostly in terms of quality of life changes. Search filters should now be more accurate (which is great considering the sheer number of Pokemon out there now), including searches for mythical creatures.
You can also put multiple Pokemon in the Wonder Box at once (nice) as well as navigate battle data screens better (there's a back button now!). It's all very small potatoes, but eventually a ton of these little patches will add up. Pokemon Home is a nice app in the long term, as three supported platforms ensures that it won't become a legacy program after the Switch has run its course.
Pokemon Home [Apple]