Why are you bent on proving that they don't care to reply out of arrogance? Why don't you sit down and think the reasons that could be behind this? Is it not possible that they are not very technology savvy and do not check emails regularly? Maybe they do not have proper internet connections and rely on others to forward emails to them. And when they do check their inbox after a gap of some days it must be filled with hundreds (or even thousands) of emails! Is it possible for them to even read each one of them?
thumbs up to most of the above. heck i have issues too wrt ulama's lack of engagment etc but know they simply cant respond there and then for many reasons! (some as above)