@Thenewexhibit: I know what you are searching for, as my last delay unit I owned was a Timeline before I switched over to Fractal gear. I particularly liked having non-pitched altered delay changes for getting glitchy sounds (particularly when used in conjuction with an external midi source cranking out a stream of tempo changes). Even the digital delay will briefly alter the pitch of repeats, though not as drastically as the tape algorithm. I haven't found a delay option yet that doesn't do this (including some of the other delay types).
Some of Simeon's ambient presets can mimic the glitching behavior using things like multiple delay blocks in parallel, but it utilizes a whole preset worth of processing to get there. Here's a video I made a long time ago demonstrating using random tap tempo messages to glitch playback.
Funny enough, what was once a "non-standard" use of the delay has now become standardized in stomp boxes like the Tensor, Count to 5, and Microcosm (I'm just scratching the surface of that one now). The next question is how to make a glitch pedal function in unusual ways.
It sounds like he just wants it to not glitch out when hit hits his tap tempo?