Mobile hydrogen FC efficiency is the issue
No I don't always go to advanced textbooks immediately either, but if I'm trying to prove a point, I don't use other talking heads as source material. Wikipedia does have a place IMO (Youtube, does not), as a source of more valid references. The actual articles there, although sometimes surprisingly accurate, are in reality, little more than opinion pieces that have not been peer reviewed.
As far as hydrogen fuel cell efficiency, this was calculated from the power mains. Taking one aspect of it (hydrolysis) and stating that IS the efficiency is a typical, uninformed, wikipediea/youtube argument. Look at the link, here's the efficiency in total in best case scenario ... your results may vary but will likely be MUCH LOWER (and no I'm not using Myer's efficiency because: 1. It has not been reproducible and. 2. I can't even find a reliable source that addresses it, much less definitively states it.
Electrolysis 75%, Liquification 60%, Transport 96%, Bulk storage 97%, Vehicle storage 97%,Mobile Fuel Cell 60%
Multiply all those efficiencies together and you get the full cycle efficiency ... 0.75x0.60x0.96x0.97x0.97x0.60= 24%
Again, best case scenario. Now go look up the cycle efficiency of lead acid, NiMH, and Li-ion batteries, the three types used in BEV's today. You'll find (in addition to where I get those numbers) interestingly enough, than the least efficient battery actually uses hydrogen (as a hydride) aka Nickel metal hydride cells.
As for using algae and energy from the sun, you are talking about unpublished, unverified research (cold fusion anyone?) but let's assume that everything they claim is true. It still doesn't change the equation, it just makes it far worse. They say their efficiency converting light energy to hydrogen energy is about 10%. I think it's safe to say that it is below 11%, otherwise (at these very low numbers) they would have claimed every additional percentage as it would be significant. I'll be generous and go with 11% and compare BEV to FCEV.
Better end of solar electric panels (from published research in 2005) = 30%
SOLAR POWERED BEV
photoelectric efficiency 30%, Battery charger efficiency 96%, Battery cycle efficiency (worst case) 80%.
Total efficiency for solar powered BEV = 23%
AlLGAEL SOLAR POWERED FCEV
Algael photosynthesis of hydrogen 11%, Liquefaction of hydrogen 60%, Transport 96%, Bulk storage 97%, Vehicle storage 97%, Mobile Fuel Cell 60%.
Total efficiency 3.58%!!!
In other words it is 6.4 times worse. Practically that means it would take 6.4 hectares of these algael vats to power a FCEV the same distance that you could power a BEV with 1 hectare of land covered with maintenance free photoelectric panels. It's even a worse idea than electrolysis which, by using the same photoelectric panels gives you a total FCV efficiency of 7.3% or more than twice as far as algael generated hydrogen but still less than 1/3 as far as the least efficient solar powered BEV.
I know hydrogen hypesters don't like to look at the numbers, but that's where the truth lies. Without breaking laws of thermodynamics, or without some entirely new hydrogen source we have inexplicably overlooked so far, it will never make sense because it is a PISS POOR ENERGY CARRIER, much worse than even a technology as simple and old as lead acid batteries.