Two different spiders with common name Green Lynx

and changed "Green Lynx Spider" to "Green Lynx"

My solution may need revising but is surely an improvement on the former
Green Lynx vs. Green Lynx Spider common names for the two species which involved homonymy and inconsistency (why was one explicitly a spider and the other not?)

In other words it is like writing an article and first stating the genus "Bombus" and then, the second time abbreviating it to "B.". This is equivalent to having both "green lynx spider" and then "lesser green lynx".

But if you just start an article with "B." and then continue to use "B.", there is not any clarity on what that means. That's the same as having both "green lynx", and "lesser green lynx". Green lynx what?

And if you use "Bombus", and then "Bombus" again, that's obsolete. That's like if you use "green lynx spider", and "lesser green lynx spider". Not necessarily wrong, but there is no need to say the full name twice.

Omitting "spider" entirely for one name but not the other on a checklist is not the same as using an abbreviation to shorten text

I guess it really depends what you are using the names for. In my usage of common names, it would be perfectly equivalent to that example, since I use them more frequently in presentation formats.

But most importantly, there is clearly no real consistency across the world of common names, so we just have to go with what seems to make the most sense, without it becoming impractical.

Four words should be the limit for common names, though.

There is no official rule on keeping the noun i.e. the "spider" in "green lynx spider" but generally it is removed for names that serve as an extension of a foundation name. For instance, "lesser green lynx" is an extension of the foundation name, "green lynx spider".

If that makes sense. If not, basically I'm saying the best option is having "green lynx spider" and "lesser green lynx" simultaneously.

Makes no more sense than it would to call a pair of birds as follows:

Yellowlegs Sandpiper
Lesser Yellowlegs

Surely few would find that acceptable!

The solution is to add a modifier, in this case resulting in Greater Yellowlegs

Ornithologists and birders have a lot of experience with use and misuse of common names and have concluded that modifiers are necessary and so have added these to birds that needed them, e.g., Northern Cardinal, having found that "Cardinal" with no modifier was no longer acceptable