Nah, I've had an ex I really enjoyed the company of, but just like I couldn't spend every free moment playing Starcraft, I couldn't spend every free moment texting. We used to talk for hours in person, and I really enjoyed that, but "me time" decreased for me sharply because we both felt the need to text for the reason I named, and so I'd have to stop whatever I was doing every couple minutes, or, if I really didn't want to, couldn't, or just forgot to text back, I'd have to lie and say something like "oh, my dad was talking to me" or "the text didn't go through" because telling her I forgot because I was playing Starcraft or watching tv or something would just give the impression that I didn't care. However, I didn't break up with her because of an insatiable hunger for Starcraft (though I do kind of have that), the whole feeling obligated to talk 24/7 thing kind of contributed to the relationship drying up.
Edit: Not to brag, but she liked me a lot more than I liked her, and she didn't have any problem with texting 24/7. Every time I didn't text her back, she'd tell me my text didn't go through, as if she had the expectation that I was fine with texting so much, which would have made it harder to tell her that I wasn't.