Ah, it was looking like that to me, thanks for confirming. Like, if I force dig to use some public DNS, I get the newly registered IPs but if I use my fritzbox as the DNS server, it gives me itself / NXDomains, except for hostnames configured on the local fritzbox.

That on top of the fact that my linuxes won't use the search domain unless explicitly asked for with a single-label DNS makes this a lot less scary.