As a former Army dude, I just can't see teams without medics, because in the Army there's ALWAYS a medic around. It's not like there's constantly people getting shot, but medics also are doing stuff like taking care of people who sprained their ankle on the hike up the mountain, fell into some nasty thorn bushes, didn't drink enough water, locked their knees in formation and lost consciousness. Sometimes people just trip over a curb and take fall damage. The military also works with a lot of dangerous stuff like fuels, chemicals, things that burn or explode, guns, blades, etc. In SARP there's people wearing fusion and aether generators on their backs, carrying mini-missiles on their thighs, etc. They also have to work in dangerous environments like space, alien worlds with extreme temperatures, toxic atmospheres, alien parasites, etc. Medics can also help crew members deal with stress. There's a lot that can go wrong and get people hurt, especially if mistakes are made or the enemy starts breaking stuff.
Another thing I was thinking was that my medical whiz Poppy does stuff when there's no one hurt: when the team was fighting zombies on the YSS Dragon Sword, she was the one to check out the computer in the shuttle bay because as a support character she can more easily do non-shooty things.
I definitely disagree on the technician thing, there's no one who is going to have the skills of someone who works on starships and technology for a living. SAINT people simply don't have the technical skills of technicians. Their black ships are maintained by red-panels just like every other Star Army fleet's. If your team needs someone to make the [insert technology object] work properly, a red-shirt is the best bet.
The Star Army doesn't currently have a real "radio operator" type occupation like the real Army does, probably because communications are often glossed over or taken for granted, but it's important to remember that a lot goes into being able to talk to someone far away (especially in a secure way), and sometimes things matter like whether you're on a hill or in a valley, or solar flares, etc. Nor do we have really detailed radio systems. I'm not against it, but if it was really wanted you'd think it would have been made already?
It's interesting that some of the example teams have body-less members like Cortana-style onboard AIs. We could also make an drone and/or drone operator a standard part of the away team if we wanted (the Marines have already done this IRL) for situational awareness.