Is the Liquid Mix EQ the same as The Liquid Channel EQ?

No. The Liquid Channel (TLC) uses a digital filter based EQ which is modelled upon Focusrite's legendary ISA 110, whereas the Liquid Mix EQ uses dynamic convolution to emulate the unique sonic qualities of 20 vintage equalizers. TLC provides one unique flavour of distinctly Focusrite style EQ, while the Liquid Mix provides 20 very different EQ flavours which emulate other vintage hardware units.