There are a number of direct observations that any Theory of Yuki needs to explain:
1) Hurling appliances: a teenage girl of Yuki's size and build isn't going to be a able to lift up a washing machine or refrigerator, let alone hurl it out a window. At the very least, "superhuman strength" needs to be added to the list of her traits above. (The next strip 1052 shows her "holding", one-handed, a washing machine or stove at an angle, presumably balanced on the window sill, while she herself is precariously balanced outside said window without anything like a firm foothold. That's pretty damn strong; basically we already need to postulate a magical ability here along the lines of "stuff stays where she wants it to". The only complexity the "teleportation" theory adds is to extend this to "stuff goes where she wants it to.")
2) Stealing a RAZ: If appliances are too heavy for a smallish teenage girl, then this takes that point to comic (ha ha) extremes. Yes, the RAZ is shown in subsequent strips to be quite compliant and helpful to Yuki, willing to follow her on a leash, and able to keep up with Largo's muffin cart. But 1061 shows Yuki planning to leave in panel 4 (her hair billowing out), and then having already returned in panel 5 (to talk to Largo). Essentially instantaneous. Assuming that a RAZ has the ability to travel at Yuki-level speeds (even claiming those speeds to be mundane and not "teleport"-related) would be a level of complexity even beyond that of the teleport theory itself. Did she drag it here using the "superhuman strength" suggested above? But now we're talking about not just enough strength to lift a RAZ, but to shove it nearly instantaneously across however many blocks away from the facility she and Largo had managed to travel. But speed's not really enough for that either; without some other magical ability ("structural integrity of the thing being stolen"?) she would just be ripping fistfuls of skin off the surface of the RAZ, or punching through it like a bullet through a cotton bale. So another ability added to the non-teleporting list, and another additional chunk of complexity needed by the non-teleporting theory.
(How did she get the RAZ through the cage bars and plate glass shown in 1060? Sure, with "superhuman strength" she could smash through them, and with enough "speed and dexterity" she could presumably pick all the locks and find all the "Open" buttons. Fred didn't bother showing any of that though; whatever happened, happened in the thin sliver between panels 4 and 5 of 1061, so any "non-teleporting" claims here are just as much conjecture as the "teleporting" ones, and not really any "simpler" in any way I can see.)
3) No meat on the hooks: My personal favorite, a point I made in the discussion thread for 1108 in fact. Note the similarity to RAZ's "instantaneous" appearance in 1061; one panel it's there, the next panel it's gone. No suggestion of having been accelerated away at whatever incredible speeds one cares to postulate; the hooks haven't all been pulled in a single physical direction as a result of mundane acceleration, they are just popping away in random directions as the tension in them (having been embedded in zombie-zilla's hide) suddenly vanishes. The hooks and barbs are both clean and undamaged. Super speed alone would leave chunks of zombie flesh torn off on the hooks. "Strucutral integrity" (which we already needed to assume that Yuki could shift the thing with "super speed" in the first place) isn't enough for this; that would break off all the hooks and barb heads, leaving them stuck in zombie-zilla's hide, and leaving a bunch of headless shafts visible in panel seven. So we would need to add yet another magical ability, "discrimination between the thing intended to be stolen and anything stuck or embedded in it, no matter how tightly".
At this point I really don't see a difference in complexity between the "teleporting" theory and the "non-teleporting" theory. The latter manages to avoid the ugly T-word, but at the cost of making a number of additional assumptions (perhaps not explicitly obvious ones but pretty much required to explain the things we've seen Yuki do), assumptions which are as a package just as physically nonsensical as "teleportation". I hate to sound like even more of a jerk by dragging this down into a semantic argument, but I am honestly curious: in what way is this package of assumptions needed for "non-teleportation" operationally different from "teleporting"? She can get objects from A to B faster than anyone can measure or observe, regardless of size, weight, or physical anchors. What properties does (magical, not technological; X-men's Nightcrawler, not River Song's vortex manipulator) "teleportation" have that make it a bad descriptor for what Yuki is doing?
One would be absolutely justified in being suspicious of teleportation here, I totally agree with that. Positive evidence is certainly very thin on the ground (par for the course in MegaTokyo ), and a lot of the above requires conjecture and a good deal of "filling in blanks". But to dismiss it out of hand as being an unjustifiably complex theory is IMO unfair unless one is careful about measuring the complexities in the alternative theories as well.