Yes, the SW5E AVB Switch would make this constellation possible. Any mixer in a "full" AVB network can use the stagebox modes (stagebox, monitor mixer, stand-alone) and all mixers share the same signals. But I would not recommend to buy another 24R, because it will limit the way you can use the 64x64 AVB matrix. A 32R is the better choice, because it has 8 more mic/line inputs and 4 more flex mix outputs.
The "StudioLive_Series_III_OwnersManual_V6_EN_10062019" has a list of "AVB Sends" in section 14.2.3, which will be helpful for you. The 32-channel mixers share AVB Sends 33 to 40, which means that Aux In 1, Aux In 2, Tape In and Main L/R are automatically available on all (!) mixers in the network. These inputs are shared, Talkback is also a network stream.
This might help you to plan your project better. Use the options an AVB network offers and do not think in mixers and stageboxes and cables in between...