Depends on both what the adblocker responds and how a given program handles failures.

Pi-Hole and similar adblockers can pretend that the domain is on the device itself (A 127.0.0.1), is an invalid IP (A 0.0.0.0) or that the domain doesn't exist at all (NXDOMAIN). Each one has its own implications, with the latter (usually the default afaik) being the most likely to have software generate a hard error and give up.