It sounded to me like the OP wanted an after-market/DIY solution, so the MFR is out of the loop, and liability/safety issues are in the hands of the consumer, as they are with almost all DIY endeavors.
Keeping this in mind, I would say yes, that's a great idea, but since there are dozens, maybe hundreds of different battery packs either in production or at the point where they need to be re-celled, and the fraction of owners who would be not only able but inclined to print and assemble a new pack is pretty miniscule, it would be impractical to ask that there be, in general, printable designs for any given tool. While you might get lucky and stumble across the fanatic who was willing to spend the dozens or hundreds of hours required to design and perfect a particular pack, the likelihood of finding someone wanting to do your particular pack is pretty small.
I did re-cell a 14.4V NiMH pack years ago, and the process was so difficult that I decided that I would never do it again. Designing and printing a new pack to incorporate easily replaceable cells would be so far beyond that level of difficulty that it's hard to imagine anyone ever undertaking such a project without significant financial backing. While such a project could be crowd-funded, I doubt that you could raise much money to develop a printable battery pack for a (insert your mfr and model here).
This is all on top of the practical issues raised earlier in this thread. The resistance of coil springs makes them completely unusable in power tool applications. Leaf springs might work in less demanding applications, but still cannot even compare to welded tabs. Soldered or welded connections are the only practical means to pull 10A or more from a cell with minimal voltage loss.
I'm sure that some vape devices pull currents like this from cells without soldered or welded connections, and I'm sure I'll catch some flack from people who know about the specifics of these devices. We'll deal with that if it comes up.