If one system is somehow compromised, the attacker could effectively impersonate all the systems on your entire domain if they had the wildcard cert. Maybe it's not a huge deal for individuals but for companies or other organisations it could be extremely dangerous.
If someone wanted a wildcard cert at work I would be very cautious before I even considered issuing one. Unfortunately there are a few wildcard certs on our domain, but those are from before my time.
That's a shame. Well at least it is not as important since you don't actually live there. Not saying it's not important, it's not just quite as important as someone actually living there.