As to your question, I'd guess that probably would correlate with ST, if anything? Maybe ISTP?
In general I have noticed all types of introverts saying they don't like an expectation of quick response, hence my above comment. But in each person's case, it could really have anything to do with a number of factors. Personally I don't like an expectation/demand of quick reaction if I'm going to be seriously judged on it (whereas I enjoy recreation activities that involve quick reaction) but for me I think that has to do with my enneatype - 6s like preparation time. That may be impacting @lume, too, though it sounds like for her it has more to do with a fairly long emotional response time.