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What apps would fit for breakcore?
Besides Sector with it's randomized retriggers and cuts, of course 
GlitchBreaks is ok as tool, too but both of them leads to sound that's more like effect that gets old quickly and i'm thinking more about composing it manually with control.
Classic breakcore often done in trackers but imo trackers are not that comfortable on iOS (though pixitracker was cool)
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There a guy called Nicolas Silesi on the iPad Musicians FB group who makes wicked breakcore-ish tunes as Lord Gogo - he mainly uses SunVox I think.
SunVox is tracker sequences + modular-style sound generation, that make sense.. Me personally never got used to sunvox interface
https://media2.giphy.com/media/4aBVLu47Zs2AM/giphy.gif
Trackers are pretty much it, breakcore-wise. If you do track but don’t dig it on touchscreen, iOS Vividtracker lets you go trad, and supports an outboard QWERTY keyboard.
Egoist, Elastic Drums, Turnado and Launchpad with sample import and stutter fx IAP would all be good choices I think.
We were pretty active in breakcore/glitch scene back in the day. Back then, buffer override, super trigger, Ableton’s grain delay and effect sequencers like Effectrix were where it was at. So i guess Effectrix is a reasonable starting point. But like you say, any kind of automated effects get old pretty quickly. It’s all about the manual edits and processing really, so Trackers are good but anything with solid audio editing, processing and automation will do a decent job - so perhaps Cubasis and a load of distortions/abstract effects? At least for the breaks editing part.