There are not many mines rescue teams left now and those that are left are strictly commercial operations. Previously the MRS was paid for by the coal industry and was more generous in it's responses. Now, all remaining mines, and there are hardly any coal mines, all have to pay an agreed fee for the possibility of rescue. Rather like the AA!
Having had to set up such an arrangement when the old MRS stopped cover, we found it a very expensive thing to do. You pay an annual fee for cover and some practice work where the team visits for a mock rescue at least once a year. After that everything, including an actual rescue is chargeable after the event. The comparison to the AA doesn't extend to the annual fee, that is in the tens of thousands of pounds. The more complex the mine and potential problem, the higher the fee.
Also if you think you won't arrange for rescue cover or try to say you are covered by the local cave rescue boys, you will be due for a visit from the Inspector and he'll probably have his warrant card out...