These theorists have spent a fair amount of time talking about the body--the movement is called "embodiment" after all--but little time talking about what's going on at the neuronal level. I say, point well taken with respect to the contribution of the body: you don't get ITDs in the first place without two ears and a head in between. But I also say, it is time for embodied theorists to look at the next step in the "registration" of those physical signals: the function of individual neurons. (Actually this is the second step, the first being transducer organs such as the cochlea and photoreceptor cells). Physical signals must be passed through neurons, which exhibit a complex relation between input and output. Some would even go so far as to say neurons are transforming the signal, i.e., computing. Here's a quote that gives a sense of what's going on at the single neuron level:
Neurons take input signals at their synapses and give as output sequences of spikes. To characterize a neuron completely is to identify the mapping between neuronal input and the spike train the neuron produces in response. In the absence of any simplifying assumptions, this requires probing the system with every possible input. Most often, these inputs are spikes from other neurons; each neuron typically has of order N ~ 10^3 presynaptic connections. If the system operates at 1 msec resolution and the time window of relevant inputs is 40 msec, then we can think of a single neuron as having an input described by a ~ 4 x 10^4 bit word—the presence or absence of a spike in each 1 msec bin for each presynaptic cell—which is then mapped to a one (spike) or zero (no spike). More realistically, if average spike rates are ~10s^-1 the input words can be compressed by a factor of 10. In this picture, a neuron computes a Boolean function over roughly 4000 variables. Aguera y Arcas et al. Neural Computation 15, 1715–1749 (2003)If you want neuroscientists and good old fashioned cognitive scientists (GOFCS) to take you seriously, build some "embodied" models of whatever process you are interested in and let's see how far you get without transforming the information (and therefore morphing into a GOFCS). For now, we don't see how you can get past even a single neuron without information processing rendering your more fundamental claims pretty much vacuous.