A comparison betweel BLCD and PM-Machine is not making sense as they physically are the same.
In comparison to an AC- asynchronous induction machine, they don't suffer from magnetizing losses and thus are more efficient by a few percent - if so. It might sum up to maybe 5% depending on the Quality of the ASM you compare to,
This number is true only for a comparison in power.
You could compare the same form factor or volume, then things Change because the PM-machine has a higher power density.
Agree Wikipedia can not be considered as an authentic source to quote. Especially on technical issues. Good journals reject Wikipedia citations with utmost disdain.
The Wikipedia citation of [64] at the time Mostafa posted his comment (2014?) refers to this press release of a >96% efficient brushless DC motor: http://techon.nikkeibp.co.jp/english/NEWS_EN/20090403/168295/