It seems like if I set a computer up as a DMZ to host, say, a Minecraft server, then I'd still need to port forward.
Otherwise how will the router know which local computer to send them to when they access my external IP?
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It depends on how many normal* IPs you have.
And if you have IPv6 (still not in use everywhere despite being available for 2 decades) then you probably can use thousands of IP addresses. In which case you should check if there is anyone with a minecraft client which still lacks this ancient access. (In which case you need to fall back to the IPv4 options or tell him/her to get with the times).