The DX-38 probably uses the same shelf filter algorithms that I programmed into the EV products during my tenure there in the late 1990s. They, in turn, were based upon an old Dynacord design that I inherited.
The others may (I'm not certain) be based upon the RB-J Cookbook, which is quite different. https://shepazu.github.io/Audio-EQ-Cookbook/audio-eq-cookbook.html
The attached graphic shows the EV response for several shelf filters with design frequency of 1 kHz, labeled "2nd order Digital". It also shows similar filters using the RB-J method, with design frequency of 1 rad/sec, labeled "2nd order RB-J". (The idea is that the filter can be shifted to any frequency desired.) Note that the EV filters are -3dB at the design frequency, while the RB-J filters are "half of total attenuation" at the design frequency.