Original Titebond has minimal gap filling capabilities. Years ago I read a detail sheet on the Franklin site that said it operates on a molecular level by penetrating the moisture in the two pieces of wood mated together and the ideal is the smallest glue line possible. That's why a good Titebond join always breaks on the wood, not the glue line.
That's not to say it won't work. Where wood touches wood it's incredibly strong but in a gap it has very little strength. It's just not easy to get a perfect mate on something that's been glued before.
If it doesn't hold I'd use epoxy, probably West Systems since you're familiar with their stuff.
Look forward to hearing how it works out, Scott.