Definition in the Equipment section is
Druidic Focus. A druidic focus might be a sprig of mistletoe or holly, a wand or scepter made of yew or another special wood, a staff drawn whole out of a living tree, or a totem object incorporating feathers, fur, bones, and teeth from sacred animals. A druid can use such an object as a spellcasting focus.
Nothing on that list matches anything on the list of tools on D&D Beyond.
It is worth noting that description of druidic focus looks open-ended, more like a set of examples than an exhaustive list. And tools, especially Artisan Tools, are described more as what they do than what they actually contain:
Artisan's Tools. These special tools include the items needed to pursue a craft or trade. The table shows examples of the most common types of tools, each providing items related to a single craft. Proficiency with a set of artisan's tools lets you add your proficiency bonus to any ability checks you make using the tools in your craft. Each type of artisan's tools requires a separate proficiency.
From my real world experience, I did use wooden "wands" of different shapes to shape clay (sculpting and pottery tools) and a polished flat piece of deer bone for leatherworking and bookbinding purposes. So there is a room for sacred druidic objects also used as a crafting tools all right, but as with everything not directly referenced in rules, DM has the last word.
Personally, as a DM I would allow the tool to be a druidic focus if it is indeed one of the above, because I know what they are and that they are used, unchanged, since antiquity to this day so would almost always be setting-appropriate. I would also be open to my player showing me how the tool meets the requirements if it is outside of the scope. If the craft may be considered especially druid-related, the better. I'd accept leatherworking tools more happily than bookbinding ones, for example. I'd also add a few gp to the cost.
I would not be open to arguments like "But my all-purpose tool is build from the bone of a sacred animal!". No, it isn't. It would say so if it were. Some tools are naturally, obviously or historically made out of wood and/or bone. The others are not, and arguing that "but mine is!" sounds too much as gaming the system.
Didn't have this exact problem with artificer, but I had similar issue with druid/wizard and a staff. Making price 10gp (because the basic material was essentially free and 5gp each was for making it holy or arcane) and requiring player to describe how it was made and why druids are OK with that did the trick well enough.