Even if they were old-n-busted, your network must also use a DNS resolving server that supports DNSSEC. So even if your client has the right stub resolver, the network you connect to determines whether your client can make a secure connection or not.
Assuming both the client and network were correct, you still have no idea if it worked or not! If you are a really smart user who thinks a site should be using DNSSEC and you try to go to that site, and your dns resolver supports DNSSEC properly, all you get back from trying a bad site is the domain wasn't resolved.
Is DNSSEC broken? Was the domain name wrong? Do I not have an IP on the network? Did something else happen? Who the fuck knows? Not the user, who gets back a generic error message if DNSSEC is working, and gets no error message if DNSSEC is not working.
So it only works reliably when it's broken. What a fantastic security system.
None of that happens with HTTPS, of course. With HTTPS the only thing that determines the security of the connection is whether the client validates its certs (and all browsers do). If it fails, you get an error and a big scary warning page.