Addons like FFZ can already render a preview of a link on hover (off by default for obvious reasons). Embedding images in chat would be an AWFUL idea.
If you want a badge, vote for the suggestion that has already been posted https://twitch.uservoice.com/forums/310213-developers/suggestions/37672954-verified-developer-badge
The most popular bots on Twitch are run by companies who do their own marketing and advertisement, they don’t need a bot list and certainly not pay to be an advertised spot. Outside of the main bots the smaller bots are usually limited in functionality or more niche so a user would have to spend a large amount of time trying to find something that would meet their own specific needs, and wouldn’t help those who want a custom bot built (and Twitch should not be running a job marketplace for devs).
You can do role management on your end, many 3rd party services already do.
I’d also like to echo the words of Barry who made some great points about the data you have collected, that doesn’t really show anything and you have no idea how those other bots are designed or what they’re doing behind the scenes.