Here in the US (in a rural/suburban area outside a smallish city in upstate New York), the flow would look more like:
A paramedic recognizes a potential MI and takes a 12-lead EKG. If it is indeed a STEMI, then we'll call the ER and transmit the EKG and other vitals (via a cell modem embedded in the monitor). If the ER doc agrees with my diagnosis, then the cath lab is activated.
I'll have a couple large bore IVs in place before we arrive at the hospital, and when we get to the hospital, the patient stays right on our stretcher as we bypass the ER entirely at take them directly to cath.