You can easily animate such stuff as one block by simply pre-composing it. Otherwise AE has no such function built-in functions and there will always be limitations in creating and editing it. Scripts like TypeMonkey (and possibly other "Monkey" scripts) can help if you care to spend the cash:
Otherwise indeed you'll have to set up the text manually and apply whatever presets, text animators and so on individually and adjust their timing to create the illusion. Easy enough to do for your eleven lines of text, but of course it could turn into quite a bit of work if you need to do it often and for lots of text.