Request: dig function "+nssearch" should print the names/IP-addresses of servers timing out

The dig function "+nssearch" is a very helpful feature to quickly check if all authoritative servers of a domain are online. However if a authoritative server is not reachable, "dig" will silently fail for these servers. Example:

All servers running

$ dig dnsworkshop.org +nssearch
SOA ns3.myinfrastructure.org. hostmaster.strotmann.de. 1039 10800 3600 2419200 900 from server 5.45.109.212 in 33 ms.
SOA ns3.myinfrastructure.org. hostmaster.strotmann.de. 1039 10800 3600 2419200 900 from server 185.92.221.212 in 44 ms.

One server missing

$ dig dnsworkshop.org +nssearch
SOA ns3.myinfrastructure.org. hostmaster.strotmann.de. 1039 10800 3600 2419200 900 from server 185.92.221.212 in 42 ms.

It would be helpful if "dig" would report the domain-names and/or IP-Addresses of servers failing to provide an answer.