I will but they might not have the best experience there, maybe not Hi-Fi headphones.
How do you know or compare a Sound Card (ZXR - Phoebus - STX II ) to a dedicated AMP , in a words of "driven decently" . I mean what the differences you will hear ? that's the correct question.
I like to use the word "decently" because it's a very generic description I can use when I can't really offer any better description.
(my brain works best when it has a lot of time to think something over and come up with a "good" detailed answer)
I do not own the ZxR, Phoebus or STX II (just original STX), so i can only loosely base my opinions on those cards because they really use the same headphone amplifier chip as my STX.
I was fairly happy with my STX driving my DT880 600-Ohm and DT990 600-Ohm headphones
The four sound cards come with the same class of PCM179X DAC chips, i do not think you truly best them until you spend $150 for an ODAC USB DAC (Sabre DAC chip)
I consider my JDS O2 headphone amplifier a little better then my STX's amp, but the O2 costs $130 and offers a lots less features then a sound card.
So that $280 (O2/ODAC) for getting hopefully better sound quality, more then you might be willing to budget, the Schiit Modi/Magni external DAC/amp seems to offer good sound quality for it's $200 price.
When I wanted to improve over my STX, I spend $300 for a Audio-GD NFB-15.32 external DAC/amp
(Technically I bought the NFB-15.32 for several minor improvements (like dual WM8741 DAC chips), over my STX).
If you really want to drive headphone to their best, you need to be willing to spend the cash, external do offer better amplifiers, but it costs you.
Another advantage of external is no "electrical noise" in the audio signal, so an external gives you a very "black' background.
You can have "electrical noise" in your analog audio signal from an internal sound card, from being inside the computer case, but it might be just barely noticeable, if noticed at all, or never really notice the difference until you go external.
To me a sound card is usually really good enough for the person who has a set budget, Creative and Asus try to offer the best they can, for a given cost to manufacture their cards.
Creative and Asus have equal access to the sound card parts available in the world and they seem to share more parts with each other then they might admit, so maybe there is really only very minor differences between the cards.
They do use difference main audio processors, SoundCore3D vs C-Media.