Now for some links and less pretty pictures...
r/Stratux is a great resource, and one I've used a lot while supporting clients who have them - https://www.reddit.com/r/stratux/
Here's some commentary from someone who knows more than I do about these antennae, though...
I'm no RF genius, but my understanding is that the stock antenna has higher bandwidth due to its thickness, and of course is significantly bigger than the smaller antenna. I was surprised myself, but I guess it's just physics!
Part of it is the increased bandwidth. As the width of an antenna increases so does the bandwidth, however there are practical limits to increasing the width of the antenna element.
Another consideration is the impedance of the antenna and the input impedance of the SDR dongle. The SDR is advertised to have on input impedance of 75 ohms. However, this holds only when operating in the TV design frequencies of the TV vand. When operating outside those frequencies the impedance can vary widely. The stock antenna allows the user to "tune" the antenna to the SDR.
An antenna can also be thought of as a tuned circuit. The shorter "custom" antennas are loaded to decrease their overall size. They remain tuned to the design frequency but the have a tighter bandwidth. In addition they are physically shorter this having less exposure to the incoming signal.
The ground strap accomplishes two things. One, it helps stablize the input impedance to the SDR and two, it creates a counterpoise this increasing the effective lengthy of the antenna. However, due to the design decision to shorten the antenna the short "custom" won't be as efficient as the "stock" antenna.