That would make sense were we playing a game with learn by doing systems but thats not the case.
A quality 1 iron axe will never be better than your quality 5-6 stone axe, no matter what you do. It will stay that bad and
even after countless hours of using the iron axe it will be still bad because our tier system is on crafting and not on usage.
An iron axe will certainly be better than the quality 6 stone axe, when you learned to craft it better. Iron axe is iron axe, the quality is just a minor variable like the age of the survivor is.
A game uses abstraction to have situations make sense generally, not in excrutiating detail. So LBD is actually happening in this game because first you craft (or find) iron axes that are worse than the stone axes you (or the other crafters) learned to craft at high quality. Then with time your crafting gets better and your iron axes surpass any stone axe because iron is the inherently better material for axes. This is LBD, the learning is just simulated with putting perk points into miner69. The detail you have to ignore is that strangely you also FIND better and better stone and iron axes as if the other people in this world learn too.
Also just to note it but realistically speaking if our situation ingame was true it would make more sense to make the stone tools even better because material costs are the lowest while the quality is exponentially bigger so it would look like as if LCD screens just died out middleway at 1024x768 resolutions because cathode rays got to the point where they are cheaper and offer triple resolution.
Realistically iron as a material is far superior for axes than stone. No stone axe can ever be made as sharp as an iron axe without the stone chipping. This is a fundamental physical property of the material. So if you put say one month of research into building stone axes and one month of research into building iron axes then the resulting iron axe would normally be better than the stone axe. In the game it is simulated that you always start with stone tech (because iron tech is not available from the start) so you put that month of research into stone axes first. Then iron tech becomes available to you and the month of iron axe research starts. And you need that time to catch up with iron tech before you are equally good at iron tech as you are at stone tech. At which point the inherent quality of the material decides which axe is better.
The LCD screens were in reality much worse than any CRTs for the first decade of their existence. When the first LCD screens reached the resolution of a CRT, they were sold for >$5000 a piece while a CRT cost $300 (values just rough estimates, it was a long time ago). But the CRT was at the end of its technological range, you could pour endless money into research and would not get much better CRTs. LCD were at the start, their material cost was prohibitive, but it promised to be so much more powerful.
If you look at it today, the material a CRT is made of still could be produced much cheaper than an LCD if you had to start from zero. Building a factory than can produce electronic chips costs hundred times more than building a factory to build class tubes and needs many more advances in technological knowledge. But one of the secrets to make LCDs cheaper is mass production, so the prohibitively expensive cost of making the factory gets spread over millions of produced LCDs.