true, it is a center tapped coil (in this case the secondary of a transformer) connected as an autotransformer (with no isolation between signal input and output). though, i guess i've never seen an application of an autotransformer where some point in the center was grounded. likely there's another application for it though.
it would be unlikely to find a "choke" coil with a center tapped winding. maybe a CMR choke with two equal windings joined, though that would tend to be too small for interstage purposes. would any PA autotransformers have a tap right at the midpoint? i suppose a more readily available device would two windings of a multifilar transformer, connected as an autotransformer.
whatever the intended use of the original device, as dan points out, it would be connected as an autotransformer.
ed