MC 1.12.2
1.12.2-forge1.12.2-14.23.2.2611 or 2624
BlockDropsTweaker-1.12.2-2.4.jar

Started with empty /config/blockdropstweaker/blockdrops.json
Commands used:
/bd block add ore:logWood *
/bd block tool add minecraft:iron_axe *
/bd block tool add minecraft:diamond_axe *
/bd save
blockdrops.json: https://pastebin.com/w2kjzpT9

Only the first tool in the "tools" list is recognized for the block. The the configuration above, any logWood does not drop itself unless it is harvested with an iron axe. Diamond axe does not produce any drops, as if it is not listed. If I add any other tool to the beginning of the list (i.e. "tools":["minecraft:golden_axe,*","minecraft:iron_axe,*","minecraft:diamond_axe,*"]) , save the file and use /bd reload, only the first tool (golden axe) in the new list is recognized.

I have about 26 tools that need to be able to harvest ore:logWood, as well as other oredict entries.