DISCLAIMER: wrestling nomenclature varies a lot region by region and coach by coach, so this is just my opinion and experience
First video isn't an arm spin, it's an arm throw or "japanese whizzer" or "*** whizzer"
Second video is an arm spin
Third video is a hip toss with a head and arm grip, not a head and arm throw or "headlock".
Out of all these four throws (hip toss, head and arm, arm throw, arm spin), I wouldn't feel that comfortable doing any of them in a self defense situation in the street because they are inherently more risky than most other takedowns. If I had to choose, personally I would go with a head and arm throw because it is more of a sagging motion and requires less complicated movement. Honestly sometimes its hard to do a complicated move or do a move with perfect technique on a wild and untrained person because they react in very unpredictable ways.
Head and arm/headlock/head throw
I would never do a back arch arm spin like the guy in the second video is doing in a 'street self defense situation'.. it's a very finesse move that I am not that good at.
An arm throw that doesn't quite work can leave you with the guy on your back ready to choke you.
A hip toss is fine for self defense if you are good at them, I am not.
I would say a head throw/head and arm/sag headlock is a necessary move to know in wrestling because it can be an effective counter and match ender in a lot of situations. New wrestlers (especially female wrestlers) are criticized for trying to headlock throw people constantly with no set up, which isn't what the move should be about. A hip toss is nice to know but not necessary. I don't think arm spins or arm throws are that common and they are risky, I don't consider them necessary in wrestling.
None of the moves mentioned in this thread are necessary for self defense. I think a snap down or a blast double or a snatch single leg are the best takedowns for self defense. Footsweeps and throws are nice but these moves are hard to get on someone who may not move like a wrestler. Moves that require a certain subtle reaction from someone shouldn't be your go-to's in a self defense situation.