LTSP doesn't really care about the network as long as it can PXE boot. Unfortunately the idea of netbooting off of a wireless network is just something that isn't generically supported across multiple vendors, this seems to suggest that certain hardware supports it:

• https://superuser.com/questions/310915/is-possible-to-boot-on-pxe-over-a-wifi-device

I've set up LTSP on a normal ethernet network, and even those "ethernet over power" 200mbit devices, which happen to support PXE just fine. The superuser question mentions some support for this on macs, so maybe a good place to start investigating is if LTSP supports or can support this:

Apple has built drivers for those Wi-Fi chipsets, as well as a UI for joining a Wi-Fi network, into the EFI bootROM on those models. As far as I know this is an Apple proprietary scheme, not PXE-based.

One thing you might want to investigate is scripting logging into a remote LTSP server from the local Macs, they wouldn't be true "thin clients" would it would get you up and running.

Still, having deployed LTSP at a school, if you're doing this at scale (I did about 200 clients) you'll want/need a very fast gigabit network anyway; if you have rooms worth of laptops that you were hoping could all hop on the WiFi and get a full remote desktop with great performance, then that's really not going to happen anyway.