not only that, but the Nagle algorithm explicitly ignores the PSH bit
anyway:

                 The Nagle algorithm is generally as follows:

                      If there is unacknowledged data (i.e., SND.NXT >
                      SND.UNA), then the sending TCP buffers all user
                      data (regardless of the PSH bit), until the
                      outstanding data has been acknowledged or until
                      the TCP can send a full-sized segment (Eff.snd.MSS
                      bytes; see Section 4.2.2.6).