Why do brain cells use shuttles that pass electrons from NADH to FAD?
In the absence of unanimous consensus and sources regarding the actual distribution of these shuttles,(wikipedia favours G3P shuttle abundance) let me try to explain the cause if the glycerol-phosphate shuttle is assumed to be prominent in brain cells. Several possible reasons might lead to this:- 

1) The existing metabolic pathways are all intertwined to form a complex metabolic net. This means that invariably, the intermediates of any pathway are the products or intermediates of several other pathways. Therefore, the G3P shuttles require Glycerol-phosphate and Glycerol-phosphate dehydrogenase (I and II) which might be naturally abundant in brain owing to its use in strict lipid metabolic control in nervous tissue. This means that tapping the already high G3P for use as a shuttle compared to synthesising and operating a distinct metabolic shuttle is more profitable. Furthermore, operating Malate aspartate shuttle migh require intermediates whose high concentrations (required to maintain the shuttle) might negatively interfere with existing metabolic pathways like protein synthesis and regulation.

2) This shuttle has much faster operation time than Malate-Aspartate shuttle and hence is very useful in shuttling reducing equivalents fast in muscles and brain. Compared to the malate aspartate shuttle, it is shorter and hence faster and less prone to cessation due to unavailable intermediates or enzymatic disruption. Due to several enzymes working in Malate-aspartate shuttle, it has a narrower pH and temperature optima than the G3P shuttle which is shorter and depends on lesser intermediates, and hence is less prone to disruption.

3)The last and the most far-fetched (but relevant)reason is that the loss of one ATP may not cause much of a problem because of already high respiratory rate, high Oxygen delivery to brain and ability of the body to quickly transfer available energy sources to brain at the cost of other parts, at times of energy stress. This means that replacing the shuttle with a more energetically conserving one may not have a strong driving force for evolution to operate on, and therefore the presence of G3P may be because of something like phylogenetic inertia, that is, the prevalence of an ancestral character just because it is neutral and does not influence the fitness in a considerable manner. Therefore, the ancestral G3P shuttle would just not have been replaced here but this is very unlikely as G3P shuttle is prominent in 2 very high energy-demanding organs, muscles and brain. 

Except the last outrageously far-fetched reason, all other reasons should be enough to explain its prominent presence (if it is true) in brain tissues.