There are several versions of the Orange Lantern symbol. Notably, GLTAS’s Orange Lantern symbol is, as of the moment, unique to the series.
Why is this so?
According to TVTropes, the Orange Lanterns, as depicted by GLTAS, had a “Mayincatec” aesthetic, down to subtle solar symbolism. This may explain why GLTAS-Larfleeze’s symbol lacks pointed spokes, and instead has solid lines extending to the border of the symbol: the lines are supposed to represent the rays of the sun.
But how is the sun a symbol of greed?
The sun produces light, which crops need to grow. If crops receive enough sunlight (along with nutrients), the harvest will be bountiful. The extra food means there’s something to hoard, and therefore something to be greedy about.
More indirectly, if the harvest is bountiful, it means people don’t have to spend all their time searching for food, and therefore can devote their time to developing skills. If skills are developed, society may stratify, and if society stratifies, some people will be better off than others. Those people will take more than they need, and therefore be (or appear to be) greedy.
Yes, it is a stretch, but greed is much easier to support in prosperous places.
GLTAS-Larfleeze’s Orange Lantern design, unlike the designs for Larfleeze’s Larfleeze #1 and Threshold #1 symbols, lacks spokes which extend past the outer circle of the symbol. Like the Green Lantern symbol, the symbol stays inside a white circle.
However, the other instances of the Orange Lantern design differ from Larfleeze’s design.
In this image, the door to the cavern Larfleeze resides in is designed to look like the Orange Lantern symbol. However, it does not use GLTAS-Larfleeze’s symbol. It’s more similar to the Blackest Night design. The spokes don’t poke out too much, nor do they pierce the inner circle. Despite this resemblance, the GLTAS Orange Lantern symbol is still unique because the spokes have squared-off tips, and are not pin-shaped or isosceles-triangle-shaped.
The symbol on the rings is more similar to Larfleeze’s “sun” design, though it doesn’t have a thin rim surrounding the outer circle. Here, the rim is the outer circle.
The design for Glomulus’s symbol seems to differ from Larfleeze’s symbol. Glomulus’s symbol has a larger inner circle.
That the designs differ so much even within the same comic book issue or television series may suggest “collectibility”. The differences in the symbols makes them worth collecting, and thus valuable1, like stamps, pogs, or Pokémon cards. The “collectibility” aspect may reflect the Orange Lanterns’ greed.
Alternatively, the diversity of Orange Lantern symbol designs was something like patriotic paraphernalia: the collecting of the items reflected and reinforced the collector’s ties to the concept represented. Indeed, it is unlikely that people who do not believe greatly in the superiority and greatness of America would collect American flags. (I cannot say anything of other countries on this matter.)
According to Razer, only “warriors with a strong sense of duty” were chosen to be Orange Lanterns. If duty and patriotism produce each other, then it is possible that collecting the near-patriotic Orange Lantern symbols would strengthen their sense of duty, and thus help them resist the “strange influence” of the Orange Lantern battery.
Unfortunately, this connection between symbol diversity and duty is only speculation, with little evidence to prove it. Search engine results into patriotic paraphernalia were too clogged with sale sites to be useful.