Struts, in my experience, is short for MacPherson Struts, which is a particular kind of suspension. A strut is a shock absorber (misnamed, too; should be damper), but a shock is not necessarily a strut. I call them shocks on the Supra because they're not anything more.
All Supras have double-A arm suspension on all four corners. On first glance, it may look like they have MacPherson Struts, but they don't. It just happens that Toyota chose to put the spring on the shock. It's a very good way of doing it, since the spring and damper are tied together closely.
yeah strut is short for MacPherson Struts, there is a difference. although if you are ordering parts, saying strut or shock (even Dampener) won't matter, the parts guy should know what your taking about.