The first true statements are true, because they're aren't absolute statements. The last three are true, because they are absolute statements, and there are many exceptions.
Many many years ago, first blenny was a red flame blenny Tripterygion melanurum from the Mediterranean, in the genus of triple fin blennies (not continuous dorsal fins). I've never seen that fish for sale ever again. It didn't live long, and there was no info on them at the time, and now I know why, because they live in cooler water than my fish only SW tank at that time.
That started my love of blenny keeping. Since then, I've kept molly millers, bicolor blennies, and locally caught blennies. My first and favorite locally caught blenny was one that I caught in the Chesapeake Bay while I was in college, the feather blenny (Hypsoblennius hentz). A graduate student was studying and experimenting on striped blennies (Chasmodes bosquianus) from the Bay, and after that, I decided that someday, I would build an oyster reef aquarium with both blennies as my feature fish. They fascinated me, as all blennies did. I spent hours in the U of MD library studying them.
Since then, I've caught and kept striped blennies (Chasmodes bosquianus) and naked gobies (Gobiosoma bosc) along with other fish species from the Chesapeake Bay in my dream tank, which I finally started up last year (I kept a 20g version of that tank with these fish species for several years). You can see this tank on my build thread. If you want to see my 100g (140g system) Chesapeake Bay Oyster Reef dream tank, you can see it in the build thread section. Basically, all of this dream tank centered around keeping blennies, and evolved into a biotope.
Of the bottom dwelling species, in most cases, a good way to tell them apart is that most, but not all, of these gobies have their ventral fins formed as suction cups, which allows them to basically stick to things. Bottom dwelling blennies perch on their anal fins, but are not fused together. In my opinion, blennies seem more alert, almost "smarter", but that's my own personal opinion. Even though the blennies are by far my favorite fish, I love all my fish.
Here are some that are currently in my tank:
Chasmodes bosquianus, male striped blenny, from the Chesapeake Bay. Bottom dweller, continuous dorsal fin. Both species are carnivores, but, I have seen the blennies on rare occasions, take some bites out of macro algae in the tank.
Chasmodes bosquianus, female striped blenny, from the Chesapeake Bay. Bottom dweller, continuous dorsal fin.
Gobiosoma bosc, or naked goby, from the Chesapeake Bay. Bottom dweller, not a continuous dorsal fin.