Luckily I married years before the texting era but I hear this from some of the single ladies, men that only text, or make initial contact via text.
I'm like huh? Can't even get a phone call these days? Men have put the threshold so low now, well women have I suspose. THere are apparently women that accept this because men are just throwing that low ball mess out there. I told this young lady who asked me about it, I wouldn't respond to a text. I would just simply say I don't want to date/get to know each other via text.
I don't know how old the OP is, but what REALLY kills me is men in their 30s or over doing this mess. I "almost" excuse the young boys because they grew up like this, but older men know dayum well how to pick up a phone and call somebody because they had to do it for the majority of their lives.
When I've called out some of them for this, they were like, "Well, I didn't know if you liked phone calls or not." I said, "You never asked, but now you know that I don't correspond by text." They'll say okay, and then never call. Oh well, good riddance.
Some of these dudes are divorced (meaning that they pursued and courted a woman by PHONE and actual in-person dates enough for her to want to marry them), so when they pull that text crap on me, I KNOW they're lazy.
One dating guru suggests women saying either what you suggested or take it to another level and say, "I don't have text messaging on my phone." Even if they do. That way, they shouldn't even try... women have to take the initiative on this one, unfortunately, and nip this mess in the bud before it starts.
Because men will take easiest way to the drawls if they can...