Nope! It wasn't the Jasper we're currently seeing since this Jasper never seen Rose. I think it was in sworn to sword where pearl was training Connie and Garnet explained to Steven about how Pearl kept retreating to her Gem to "protect" Rose while the gem who was hurting her resemble Jasper.
I could be wrong. But I like what you said for each gem began to create their own identity as they reform.
I could be wrong. But I like what you said for each gem began to create their own identity as they reform.