I wouldn't automatically count on it. As your own DVD player shows, some DVD players apparently cannot "see" the Redbook layer of a hybrid SACD. That's because an SACD is, in fact, a DVD disk, so the player naturally goes straight for the SACD layer, which it can't encode.
I would try any machine before I committed to it.
By the way, many SACD players can also function as video players. If you already own SACDs, but not DVD-As, that might be the way to go.