If you haven't heard of it, don't be ashamed. Here's the website of it: https://www.bittboy.com/

Essentially, it is an NES/Famicom in the size of a GBC. It has 129 games built-in, including SMB, SMB3 and Mega Man 3

My question is this: Would speedruns on this be accepted? I have no clue of the frame rate of it, after searching for a while.

Also, what would I, or someone running on this classify the platform as?

Without the important information that we'd need, I don't think we could accept runs on that.

Unofficial hardware seem to run into some murky waters regarding frame rate and emulation accuracy as that information seems to be difficult to find.

I feel like there are enough options already anyway. Original hardware, VC and PC emulators.

Is the Super Mario Bros. on the wii game all stars the same as the actual original game?

No, click on miscellaneous and you will find the all-stars version there and click submit run after you have completed and uploaded your run to youtube (if you do record)

Oh ok

No prob