The professional GSM modems are not phones, you have to register the equipment ID number with the phone company and until last year there was no problem, they are used on turbines for telemetry and allow data to be streamed in and out at will, most system have a linux machine inside and webserver the modem is connected constantly, the phone people no longer allow this as its considered tethering.
When I am next up at the site i will get the modem model. All sims not used in phones have to be registered or the phone people close the signal down.
You're talking about an entirely different thing, not GSM txt messaging (as SMART meters do periodically, and uses pretty well no bandwidth), but GPRS networking which would obviously use considerable bandwidth.
However, there's nothing really different about a 'professional modem', the home built ones (my current ones were just over £3) work identically - the problem is the way you're trying to use them, as pretty well permanent network connections.