Large Scale UniFi Installs/Deployments

I am looking at replacing an existing Meru WiFi network. It consists of a single hardware controller and around 70 APs. We usually have around 1600 wireless clients connected to the network at once (but not all actively using it at the same time) but this will probably grow in the future. The system works reasonably well but is 6 years old and I would like to replace it.
Will UniFi work okay at this scale and with this many devices? (Largest deployment I’ve done is about 15 APs)
Does anyone have any advice on this?

We have done sites with over 300 access points, they have a tuning guide for this