Got a ridiculous craving for blini this morning and decided to try my hand (I've never made them before, somehow). Unfortunately, we had no eggs, so I went with this "eggless crepe" recipe-- a far cry from my intention, but when you get a drunk desire to cook at 5am, well, you cook.
I skipped the vanilla extract but otherwise followed it as written. I think that the batter was much too thick and I definitely consistently overgreased the pan (I was using a "vegetable oil spray" instead of actual vegetable oil, which probably didn't help), but all things considered, as a first attempt, things went okay.
I'm not sure what the point of eggless crepes are, since they're still not vegan, but if you're wondering whether they're edible-- most certainly! Mine came out very thick in that stick-to-the-roof-of-your-mouth way; I'll find out once I buy eggs whether their addition would've prevented that. Because the batter was so thick it was a huge pain to get it to spread thinly enough in the pan, which meant the pseudo-blini-crepes were thicker and had a smaller diameter than is ideal. They also didn't fold the way they should-- I put some peach jam into one and folded it over for my father, and while it didn't break in half, it did crack pretty ugly.
I ended up making myself a little breakfast sandwich with 'em, since they were all relatively small: spread a decent amount of horseradish sauce on one side, put on a couple slices of deli sliced turkey and a slice of swiss cheese, top with another horseradish'd "blin", cook in pan on medium heat til cheese is melty and the turkey warm (flip if you think the bottom blin is getting overcooked), and voila-- incredibly filling breakfast.
So, again, far from ideal, but if all you've got is flour, butter, and milk, you've got a lot more than you think!
Here is a legitimately interesting rundown of ways to substitute eggs in various recipes-- worth reading just to give you a better sense of the many different functions eggs serve in different dishes, even if you have no interest in cooking without them.