This is from EQ Magazine:
"A Blumlein Pair requires two closely matched figure-8 mics to insure balanced stereo recordings. While the patent calls for a pair of bi-directional ribbon mics like the two RCA 74b Junior Velocity mics shown in Figure 1, two identical, multi-pattern condensers with each set for figure-8 polar patterns are often used instead. While preferred, you don’t have to have a factory matched mic pair; you can use any two mics of the same type and model, as long as each has (or can be set to) a bi-directional polar pattern. If you already own one multipattern condenser mic, or one bi-directional ribbon, consider purchasing a second mic of the same model so you can exploit the Blumlein Pair technique."
but i also read in sound on sound that the only reason alan blumlein used fig8 and omni mics for his various stereo pair experiments was because those were the only mics available at the time.
from what i can gather, he developed pretty much all the stereo setups: xy, mid-side, etc, but if you want to call your setup a "Blumlein Pair" it does indeed need to be 2 fig8 mics. the mutual angle and placement of the 2 mics in this configuration were developed based on the response of 2 fig8 mics.
so, it's not like you couldn't try it with whatever mics you have, but if you're using cardioids, it would probably make more sense to just go with xy, spaced pair, or whatever. hell, you could place a couple cardioids in a mid-side position if you wanted to, but it would then cease to be "mid-side" and would be silly to call it that.