Incoming SMS to Email?

Why our operators do not support this functionality? It seems simple and the archive of messages is maintained? There is a sms + service at the megaphone, but there is its own interface and no connection with the outside world.

I can not think about the reason why this is not, apparently there is some kind of abuse.

Probably many people want to build a service that allows SMS to publish something on the site, but is it really possible only through connecting the phone to the server?
Can there be western operators having such a gateway?