It is all a matter of terminology only.
At first, sound cards were cards inside the PC. Then they moved to units outside the PC case, but the name "sound card" stuck. To clear up the confusion, and to be inclusive, I prefer the term audio interface. As RoC points out, not all audio interfaces are even suitable for domestic use.
A sound card or audio interface usually has ADC as well as DAC. It is used for recording sound as well as playing it.
The hifi world came up with the idea of cutting the input/ADC side out*, and giving us output/DAC only. The only thing possibly wrong with that approach is that hifi companies go by hifi prices, so instead of only paying for what we need, we end up paying more for less.
So far as equipment suitable for our market is concerned, a good internal or external sound card, maybe called audio interface, must include a good DAC. But then, so must a good CD player, a good DVD player, etc etc.
*well, ok... high-end separate ADC/DAC units have probably been in use in studios for longer. Adding this because my pedantic brain insisted :lol: