Side note: Tailscale, like WireGuard itself, has problems in iOS with native IPv6 networks which use 464XLAT because WireGuard prefers the A record on a DNS request. This breaks when you're being proxied over an IPv6, and that proxy gets dropped. Then you don't receive notifications until the proxy is re-established.
(Interviewee here) WireGuard itself barely touches DNS, and tailscale as far as I know doesn’t have any code that would change how your external DNS resolution works. What you’re seeing might be a misdiagnosis. If you email tailscale support we’ll be happy to help figure out what happened and if it’s a bug.