I was leaning towards the Blur because I thought it was very sexy and I do like that it is a bit beefier than the Skyline.
Not only is it "beefier", the Blur is more durable / structurally sound with dual steel liners, aluminum scales, and thicker stock blade. It is also more comfortable in hand (better ergonomics) and has excellent, well-placed thumb-studs (and no flipper). The drop-point blade has a re-curve for improved cord-cutting and a high flat-grind for improved slicing. With the thicker stock, however, it does not perform as efficiently at delicate slicing. It is also a tad heavier and wider in the pocket with a longer pocket-clip, and it is spring-assisted which may be a problem for parents. Overall, the Blur is a stronger knife designed to handle heavier, prolonged use on hard substances. The Blur is a small step down from KAI's ZT line.
The Skyline is
thin and and light-weight and
weak, designed for light use (read "minimal force"). The 30% thinner blade is almost as long as the Blur's, putting it at risk for fracture from bending - do NOT pry with this blade. Also, lacking metal liners, the open-construction handle is prone to flexing and torquing. The "studs" are not positioned for thumb-use but act instead as blade-stops instead of a stop-pin embedded in the G10 liners - recurrent use will result in vertical blade-play and poor lock performance as the studs wear-down the G10. The handle is uncomfortable under prolonged use. The pocket-clip is smaller and more comfortable but is position such that tip-up carry rides high, although this makes for easy withdrawal from the pocket. Everything about the knife says "light use". The thin blade slices better than the Blur's provided only limited force is required and torquing is avoided. Blade damage can be more severe but takes less effort to sharpen out. The skyline has a flipper.
Reasons your parents might dislike the Blur: spring assisted, large recurve blade - appears formidable. Reasons for parents to like the Blur: sturdy construction, excellent general utility knife.
Reasons for parents to like the Skyline: not spring-assisted, general utility-style blade, inexpensive. Reasons your parents might dislike the Skyline: the blade is long (>3") and very 'pointy' or 'stabby'; the flipper makes it difficult to deploy slowly in a non-threatening manner; the design is much less durable (read "less safe"); it may not seem like much of a better knife than the $1 Chinese knock-off.
Obviously my opinion is weighted in a particular direction
You should really try to handle each knife beforehand as these are two very different models and how they feel in hand makes a great difference to user preference.
As a parent, I'd prefer that my 14-yr-old have the better knife, the Blur, if these were my choices. But, as a parent, these are not my only choices. I would buy my child a
smaller folding knife (i.e. shorter blade) that deploys more slowly, probably an SAK. Kershaw also offers many other models that I could pick if I must to appease my child. Have you seen the 1740 & 1745?
Good luck!
EDIT: Just saw your last post. Good choice!
