The TF107 is one of the
more intriguing concepts of the season, no matter how they fare with it. The design is quite short compared to most other teams' chosen dimensions (overall length, not wheelbase), they didn't compensate for the toughened survival cell/crash test standards by extending the nose farther from the front wheel centre line. This might also account for the slightly different attachment to the car body of the revised (and fashionable) nose-to-endplate airfoil.
The overall length of the design is mainly determined by the forward of the front wheel centre line dimension. If the airfoil is positioned in a comparable distance from the rest of the bodywork as in the other teams' solutions the wings will connect with the nose in a different area and could require a structurally and aerodynamically different approach.
Of course this is mere speculation on my part. Certainly if they do well (mind games are part and parcel of F1) and become contenders, it certainly would qualify as a major upset. Toyota using up their testing quota in Jerez before the season has even started doesn't bode well with that scenario - but stranger things have happened than a team suddenly getting to terms with their design.
I also vaguely remember reading that Gary Anderson was less than impressed with Toyota's front suspension, along the lines of "they won't get anywhere with that". I guess it was in a recent feature on Crash.net, but my recollection might be wide off the mark here since after some persistent efforts I couldn't re-locate the article/feature/online radio content.
My first impression of the TF107 front suspension (from mere launch photos, that is) certainly was that it seemed like a bit of a jumble. And it wasn't immediately clear for me how some suspension members could comply with the symmetry rules with all those bends, but of course I haven't been in a position to (nor would the folks at Toyota be too happy about letting me) take a ruler and a sketch pad to their car and figure it all out by myself ...