Back-to-Back Full Page Burst Reads from SDRAM
I just read through the datasheet (again), and I found the following paragraph (page 6), which I somehow missed before:


  ... The SDRAM has four internal banks on the same chip and shares part of
  the internal circuitry to reduce chip area; therefore it restricts the
  back-to-back activation of the two banks. tRRD(min.) specifies the
  minimum time required between activating different banks. ...


This would seem to mean the answer to my question is no. However, perhaps I can still achieve "continuous, uninterrupted streaming" by using two or more SDRAM chips on the same bus and interleaving reads.