I merely mistyped FF8 as FF7 on the list, and I have Explorers on both lists. So a mistake on my end that doesn't change the total count, and a reading comprehension fail on your end that still doesn't change the count. And if we're counting BS like FFX-2's gun mage, despite not being called a blue mage, and not using something called blue magic, then Steiner from IX counts given his sword art mechanic functions almost identically to the recurring Samurai mechanic of Bushido, this is why I included him. But hey, I can take him off the list, and as ErikMynhier pointed out, I missed a samurai in the form of Parivir from Tactics A2, so it doesn't effect the total number of SAM.
I didn't include Bravely Default since it's not technically a Final Fantasy game, and considering both SAM and BLU had representation in both games they would not have effected the numbers. This was doing you a favor because if we counted that, then we would have also needed to count Samurai Rising, of which would have given yet another point to the Samurai tally and not the Blue Mage one.
You'll also note I have not edited my post, so the list is still there as I had initially typed it.
So to recap, I mis-typed FF8 as FF7, and taking away Steiner, but adding FFTA2 Parivir for Samurai, makes the total still: 15 for Blue Mage, 16 for Samurai.So To repeat he left off FF8 and Final Fantasy Explorers from his Blue list. Making Total it a Total of 17.
So you're still wrong, and Samurai has still appeared in more Final Fantasy games than Blue Mage.So there you go. I am willing to believe that it was just a simple counting error and was not intentional but there's your proof that Blue Mage made more appearances than Samurai.
Edit: As pointed out as I'm reading the replies I missed while sleeping. I have overlooked the Enemy Skill materia from FF7, however, if we're going to count that, then Gil Toss is also a materia from 7 too, which is Samurai ability, so arguably FF7 should be on both lists, which still doesn't change the outcome.