It's certainly not popular in the UK. It's just too expensive. It costs ~ £0.50 per mms to send so people will just use email / facebook / whatsapp / whatever.
In the US most people are still on a monthly plan that includes "unlimited texts" (inc. MMS). In many other places a single MMS can cost you between 5c-$1, so people use WhatsApp, Google+, or many other free (or cheaper) alternatives.
But MMS is definitely popular in certain regions. It is also very unpopular in regions. If you're in the UK you could very easily disable MMS, but in the US? I wouldn't...
Can you actually disable MMS on Android phones? You can stop the default messaging app from automatically downloading them on my phpne, but I can’t find a way to completely disable them.
Just set you MMS settings to something that looks valid (so the phone will accept them) but non-working. There is then no way it's going to download 'em.
I'm not sure video MMS are popular, but I send a lot of picture MMS texts. Considering it is included on T-Mobile's Simple Choice and doesn't require the recipient to sign up to some service to receive them, it is pretty convenient.
If this issue got bad I might disable it. But it would be unfortunate to have to do so.