A bit OT Arch, but i get the 'time lag' thing...I so often miss the first few words someone says, I often say, sorry, just start that again. Not just me then......
I used to wonder if I was a bit deaf, but I've thought about it, and I think it just takes me time sometimes to get the meaning. Often by the end of the sentence, I've got it and caught up, so I can converse ok. I have a colleague who I think might have a similar thing, but he will often interrupt after a few words and query something. I try to talk really clearly when I speak to him, or I get irritated at repeating myself.
With regard to text v call, I got a call today from someone wanting to meet up with us over the weekend. But we were somewhere really noisy, so I couldn't hear him, or the voicemail he left, so I texted and asked him to text. This gave me time to take in his message, think about the best time, and reply, without straining to hear. Sometimes, a text is a really good way to communicate! Also, I didn't have to get embroiled in a lot of "Oh, hello, how are you, what are you doing' stuff, when I just wanted to watch what was going on (Tractor Pulling, as a matter of fact).