Intrigued, what lens are you planning on using the speed booster with? I own a GH4 and have a speed booster, the only lenses I use it with are the 105 f2.8 micro Nikkor and the 70-400 Nikkor, all other lenses are M4/3 and the optics are superb. Top picks would be the 60mm macro Oly and the 12-40 Pro Olympus, others are the 8mm and 7-14 panny lenses which are also as good as they come.
To answer you question Im 100% sure what lens I would use more was just curious if it was possible. It gets tricky figuring out what the actually focal length is when using non Micro 4/3 lenses with the Metabones speed booster. Before I get in to the that. The reason I am considering always using the speed booster with the GH4 is for two reasons.
1. Increases maxim aperture by 1 stop
2. Increases angle of view by 0.71x
So in terms of figuring out what lenses I would use with the GH4 and the speed booster.
multiply the adapter FOV reduction (.71) by the focal length of your lens. This gives you the focal range of the lens on the GH4. If you want to know the approximate full frame equivalent, just double that number.
A Canon 16-35L F2.8 II becomes a 11-25mm f2.0 on the GH4, or 22-50mm f2.0 Full Frame Equivalent. and you gain and extra stop of light
Really this adapter is only worth it if you had a different camera before and switched to the GH4 and you had money invested in other lenses and wanted to use them still. For me I am completely switching from canon to the GH4 and in addition to shooting underwater I would use the adapter more above land probably with my longer focal length lenses (Canon 100-400mm) to shoot surfing or something. But was curious if the GH4 and Speed booster combo in a Ikelite housing was possible.
I would love to have the option of shooting prime cinema lenses on the GH4 underwater depending on the budget of the job. But more than likely on personal dives and jobs that don't have the budget to rent lenses I will shoot the Panasonic 8mm and the Olympus 60mm with diopters for Macro stuff.
However I wonder what kind of macro stuff you could do if you used the Canon 24-105 with the speed booster?