Jp beers do not get very sour, maybe a bit tart. The funk really takes a year+ to get going, oldest i have had was a 3 year bam, very different beer. HOWEVER, this is NOT the case with the dregs. Honestly one was plenty, nothing wrong with more, but it was far from needed. This is basically a repitch, there will be more active bugs then yeast, and those bugs have been semi dormant, you are giving them a huge wake up in fresh wort. Just like the commercial mixed cultures, roes does not get super sour or funky, if it does its well over a year. But, when you use some of that cake on a repitch, its more sour, faster, and more funky....on each repitch.
Jp dregs will also do the job on wort in the 25-30 ibu range, i have done so a few times. There is some strange super ibu defying lacto in there, its amazing. My guess on your beer, it will be clean for 6-8 weeks, then it will start turning, noticeably, then a month or two later you will be thinking this is a 1+ year old sour.