They are the opposite of a teleconverter which spreads light over a larger area of the sensor the speed booster draws in the light from the front of the lens and concentrates it.
Metabones in the USA claimed to have a superior optical system to the chinese producers of essentially the same thing and charged around $400 for them. Some people claimed the cheaper chinese versions also worked well and i think there was some talk of problems with both types. The effect was to increase the effective f-stop of the lens by 1 stop i think.
https://www.dpreview.com/articles/2667195592/first-impressions-metabones-speed-booster http://www.vintagelensesforvideo.com/lensturbo2-vs-speedbooster/ looking at the video I couldn't see much difference between them for $150 v the $650 cost of the metabones there doesn't seem to be $500 difference in the IQ
It's an odd thing with the focal length they apply a crop factor of 0.71 - 0.72 x but then you have the crop factor of the format to take in as well making a 50mm lens have a crop factor of around a 53mm lens.
For m43 you get to address the problem of a lack of wide angle lenses that can be adapted e.g a 35mm film lens of f2.8 and 28mm focal length normally ends up with the field of view of a 56mm lens. with the adapter maybe effectively 30mm field of view and F2.
The normal kit lens is a 14 - 42mm which has a field of view of 28 - 84mm but is 2 stops slower. It's tempting for the lower priced version but I wonder if the iq was good enough. There is corner softness but if you are going for a thin depth of field does it matter, there is some CA and a loss of contrast but lightroom or photoshop would take care of that pretty much.
Looking on ebay there are quite a few variations on offer but I could only find 2 used ones. They first came to market around 2013 so there must be a fair few sold and if they were trash then most people would be selling them on if possible. Since there is so few second hand i'm tempted to believe that they can't be too bad.
Looking at Amazon reviews doesn't help that much many have no reviews or just 1 or 2 One for canon to sony had 25 reviews 48% were 5 stars the low star reviews were for faulty products pretty much loose lens elements. Vignetting tended to be an issue and one review said they are really good for video and not so good for photography.
My m43 camera is very much under used, I much prefer my hefty K5 if I used it more I think i would be tempted.
However this isn't the post that's needed, it seems like a fair purchase if your budget is limited and especially if you want to make video.
Whats needed is someone who has bought one and uses it.
https://www.flickr.com/groups/lensturbo/pool/ The results from that flickr photo pool seem pretty good on average. For around 150 and having manual lenses to adapt seems to be a fairly good buy. I could see myself using my g5 more if i had the lens turbo 2 ...