Some barrels are toasted (wine, brandy), some are charred (bourbon). You can have light or heavy toast or char.
I have a couple of cognac barrels that were bought new. For Belgian sours I put them through a rinse cycle.with soda wash to strip the toast and oak character out - not really desireable at high levels in the target beers.
You have removed some of the char flavor with the first beer. You could do a wash if you wish, or fill with water, soak, and taste to see if there is too much.