Regarding lack of GPIO - if you're going to use it for a server, then not sure why GPIO is even needed. But if you need GPIO for hardware interfacing, then plenty of much cheaper boards out there than the raspberry Pi. Such as the dozens of different types of ESP32 boards.
As for power draw - yes, a mini-pc will definitely draw more power. I guess it depends on electricity cost at your specific location. I'm currently running about 25 containers on a HP elitedesk G2 with a Intel i5. On average it draws about 15-20 watts. It can go high as 40 watts when I'm streaming something from Jellyfin that requires real-time transcoding.