No.

1) Before macOS boots, LittleSnitch ("LS") does not have any ability to block hostnames, e.g: on every boot, any modern Apple product ignores any manually-configured DNS IP and attempts to phone-home

2) Allegedly, this user profile information is stored locally (so LS wouldn't see any outgoing connection attempt to Apple servers)

3) LS does not block DNS-resolution, only IP-connection (i.e. your ISP sees all DNS queries, whether you click `ACCEPT` or `DENY` when LS popup asks)

4) If you're using LS with intentions of primary DNS blockage, you have failed; try pi-hole (or other local hardware DNS resolver); use physically-dedicated hardware (e.g: Raspberry Pi) to run your PiHole, not a Docker/Prox/&c

5) I am investigating another user's comment on using TLS certs to DENY-all DNS, but need to research further on this (new info to me!)

But you can probably (as root) remove execute permissions and kill the running daemons. Until the next OS update.

The processes aren't (as far as anyone knows) slinging data over the network.