As I’ve always understood it, ours would be considered a coilover (which is what
@sixsix correctly referred to as “coil over the strut”). It’s a conventional double A-arm setup with a separate spring/shock. My 79 Mustang was a strut car where there’s a lower control arm and the strut to support the car.
A coilover is not an integral part of the suspension, i.e., if you remove it, the vehicle will be on the ground because it’s unsupported, but the rest of the suspension will keep it upright and the wheels will be attached just as if the shock and spring were on the vehicle.
Struts usually support the upright the wheel is attached to. If you remove the strut, the wheel flops around because it’s only connected at one point.
My 72 Monte Carlo uses a double A-arm suspension up front and a 4-link out back, and originally came with separate shocks and springs. I upgraded it to coilovers all around, but they aren’t adjustable in any way.