A new type of tensionless superstring theory, called the Inhomogeneous tensionless superstring, has been recently introduced. This is characterised by a residual symmetry algebra on the worldsheet richer in structure than the previous known symmetry algebra related to Homogeneous tensionless superstring. In this paper, we attribute "nice" properties, including hermiticity of the generators of this larger symmetry algebra, and investigate the theory of tensile superstring that the Inhomogeneous tensionless superstring could arise from. The nature of the limit is such that the parent tensile theory is generically anti-hermitian and hence rather exotic in nature. We provide two different avenues to account for this anti-hermiticity.