Any wood glue is stronger than the wood for a given value of stronger. If gluing endgrain to endgrain, then the joint won’t be as strong as the original wood if bent at right angles to the grain, but it will still be a stronger bond than the wood when bent parallel with the grain. In this instance, the loading is mainly a compression one from string tension, with just a little outward force across the grain due to the bushing and the screws, which the glue will easily cope with. I’ve seen lots of luthiers use water-thinned Titebond to get in cracks which has held perfectly well. Obviously there’s less glue per unit volume, and it takes a bit longer to dry and harden, but it will still work fine.