There are a few GDMO who still have their jump wings. That said, they are not typically on high readiness to go at a moment's notice. SAR Techs maintain a 24/7 response capability where they are stationed, and I suspect that calling in extra available pers to support could be quickly achieved - those I've met keep their gear ready to go at all times. They are also highly experienced at jumping into high risk scenarios, and very good at operating relatively independently until they can be relieved.
With ventilators being used, extra MO and especially a few CCNO would have been great, but finding those with jump wings and current jump experience on short notice wouldn't happen. The extra portable vents would probably have been critical for the air evac - send the patient with the equipment. I believe most portable vents now meet the requirements to be certified for use on aircraft - but that can make those vents a limiting resource.