You were way too late to catch the original flight unfortunately. You would have been offloaded from the original flight, no matter how quickly you thought you could get to T2. The Minimum Connection Time from T3 to T2 is 120 minutes. You'd have to reclear security, and then get the bus across (or the other way around). Emirates has no idea how quickly you could do that (we've seen on here before how people have 'dawdled' and missed connections).

I can sort of understand your point about being being put on the next flight with Business class seats available. However, I don't believe this is something Emirates generally do.

As skywardhunter mentions, you may be entitled to EUR600 per person for your delayed arrival.

And as above, I've no idea why you thought it appropriate to mention the "complexion" of a member of staff...