Based on having migrated multiple clients from UniFi to Omada but still has UniFi deployed across a few sites too, I'll give you a different take from the replies you've gotten so far. TP-Link's Omada is a newer, direct competitor to UniFi, and when it came out Ubiquiti was an absolute fucking dumpster fire in terms of, well, everything. Their software, hardware, and even the forums (which they killed in favor of the current mess). Their gateway/routing/network service story sucked, they were missing key features, their firmware was rotting in basic ways (like ssh being so old it literally included only insecure ciphers and you couldn't even connect to it anymore without + options), and finally were also starting to make more and more concerning and ugly choices that pointed towards serious organization issues (constant UI bike shedding churn in favor of ancient features and bugs they'd agreed were important) and enshitification (tying software applications to required hardware). However, they were also the only player doing that sort of fully self-hostable unified configuration networking. I migrated all the gateway/routing/simple service stuff to OPNsense, but then was stuck.
TP-Link stepped in and have been working hard on Omada being a direct competitor. It's clearly inspired liberally from UniFi but that's A-OK by me, it's healthy for both to be going head to head. In my experience it had somewhat fewer features, particularly initially, and they definitely don't cover the full breadth of cool and useful niches that Ubiquiti does either. But what there is has worked well and been more reliable for me, particularly in a mixed environment. For example Omada worked perfected day 1 with automatic L3 controller discovery using a simple DHCP Option 138 set on my OPNsense unit pointing right at my controller FQDN. It was easy and built-in to supply a proper certificate for the Web GUI. I never got either of those to work with the UniFi controller. The switching has been rock solid reliable and the WiFi more performant, better coverage, and features like PPSK were added way before Ubiquiti did and have a much better interface.
However, Ubiquiti does seem to perhaps be turning things around a bit. Their router hardware is no longer garbage, even if it is of course far less then you can do yourself. From what I can see in simple ongoing tests they do a better job on the software side for router features now as well, so if you're all-in on both systems for the total single-pane experience UniFi might once again be better. Their announcement of the "UniFi OS Server" 3 months ago (in Early Access) and publicly last month was both a surprise and heartening. Rarely does one see companies that start down the path of lock-in reverse course at all. If they make it possible to run all their various controller applications on your own hardware I'd definitely start to add more back into my mix.
So if you've got decently modern Omada hardware (and you probably do because not like it's been around that long, in terms of networks anyway) I'd be in no massive rush to switch to UniFi unless you see some key specific things you'd like. If you think you ever might want to roll your own other infra same thing even harder. But if you're thinking about a bunch of upgrades anyway then worth keeping an eye on and looking carefully at the various feature mixes each have.
And that's a really statement that makes me super happy to say, because I think each is now driving the other, which is really healthy for this ecosystem!