It could be handy on a forum with dozens of boards, but on the MB forum users should easily be able to decide and find what they want without steering them in a direction with 3 options.
Also some new users might get lazy, and just click on one of those before doing some minor checking for the board they really need to go to.
i am one of those lazy bumps

Similar buttons which could have a good purpose though, would perhaps be buttons like:
- Latest postings
- Todays postings (same as above, but limited to last 24 hours)
- This weeks most active board
Just throwing in a few ideas, I am sure we could come up with a few more if you like the general idea of this.
After giving some thoughts into this matter, i think i like your idea.
I have pushed another update to forum containing these changes:
1. All new dark theme(you need to clear the cache or refresh atleast)
2. Useful links(recent posts, and others)
3. Few major restyled forum component.

and admin panel
1. The view page is re-factored and almost 2/3 of the code is reduced.
2. Better notification system, and also removed the separation between addon center and admin panel notification code(no more duplicated codes)
3. Better readability for forms. and also some major styling changes.
4. Whenever a task is performed an overlay will show.
There are also a lots of other changes. But this is it for now. more forum changes are coming soon.
OH and the forum has new emojis too.