I'd worry more about the well-known general characteristics of a wheeled gurney, or a shopping cart, or any other piece of transportation tech utilizing tiny wheels and having a high center of gravity. That's probably the one thing high tech would replace as soon as possible: an antigrav version would supposedly be able to clear all sorts of thresholds, stairs and obstacles, as well as be used outside the ship, on uneven terrain. It might also be trivially easy to make the hover-stretchers self-propelled, or capable of propelling a paramedic along with the patient.
However, reliability issues might still exist in the brave new world. And when we see hovering meditech in the 24th century, we don't see ground clearance. For obvious real-world reasons, antigrav stretchers and chairs hover barely a centimeter over the deck carpet, on a broad flat base unsuited for negotiating any sort of obstacles. So using a classic gurney is at least sort of consistent...
Timo Saloniemi
However, reliability issues might still exist in the brave new world. And when we see hovering meditech in the 24th century, we don't see ground clearance. For obvious real-world reasons, antigrav stretchers and chairs hover barely a centimeter over the deck carpet, on a broad flat base unsuited for negotiating any sort of obstacles. So using a classic gurney is at least sort of consistent...
Timo Saloniemi