I guess the "real" answer, IS, different for everyone as to whether they burn more, the same or less calories over all with an E-Bike compared to a "normal" bicycle...

For me it's about the same, as with my normal bike I averaged about 1,600Km every year, now I average about 2,200km every year, works out to practically the same energy for me.

For the wife it's a whole different story. She used to average about 100Km a year and now she averages about 1,200Km a year... She is Wwaay ahead, probably 10X more calories burned because of the E-Assist bike than with her normal bicycle...