In my opinion you could look at the question from an evolution perspective. After all, a chicken is the way an egg makes more eggs. I don't remember whose quote this is but i think you can extrapolate from that.
Anything living is affected by evolutionary pressures. The organism invests in repair if this somehow advantageous to its reproduction later on.
As long as it is more advantagious for a plant to regenerate and thus reproduce better later the plant will 'invest' energy and time to reproduce. A tree is basically a structure of plants to compete for light. Given good conditions a tree will continue to grow but the tree hits a barrier. Chance events (storm, drought, wildfire, logging, fungi, etc...) will sooner or later topple it. A single event is probably survivable but eventually one or more chance events will occur simultaneously and bring the tree down. By that time the tree has hopefully produced enough fruit to succesfully reproduce.
To regenerate a tree 'stores' energy in its tissue - f.e. in underground roots. If you remove the fruit from a tree, it will invest the incoming nutrients and energy into its growth. Growers remove fruit from damaged trees they hope to save in order to improve the chances of the tree. So trees 'invest' solely in their structure in order to reproduce 'better' that is MORE competitive later.
True annual plants follow a different strategy. They put everything in their seeds at the end of their growing cycle. At the end they are nothing but dry stalks. They aim to cover a large area fast in order to harvest 'light and energy' before the competition.
I think this explains partially what i observe when harvesting leafs and such. Say lemon balm, most kinds of mint, etc.... if you let the plant follow its normal cyclus it will flower early in the year - say between june and august. A stem with flowers on top typically has mostly big leafs that are in a bad shape. The plant does not invest any more in the bottom leafs that are eventually shaded out by higher leafs, damaged by sun and climate, attacked by insects etc.... It puts everything in the flowers and their seeds.
I take advantage of this mechanism when harvesting.
I typically pinch the top leaves of lots of herbs. Many react to this by form 2 new stems from the base of the remaining top leafs. I effectively take away the flower buds already there. So the plant is forced to invest in one or more stalks with fresh leaves and new embryonic flower buds. So i get a plant that is bushier, greener and produces a lot more fresh folliage for a lot longer than it would do otherwise. The harvest is also spread out over a longer period so it's easier to process - less loss after harvest.
The plant stems/stalks that survive this treatment become stronger more cellulos and lignine i suppose.
I even have the distinct impression that some of the plants take some of their 'proceeds' and put them in their roots. Lemon balm roots of plants treated like this become thicker and can survive a lot of brutal treatment.
So i don't think that a tree dies of overgrowth. Remember half or more of the tree is underground. It can form runners and spread out much as a mycelium does. These articles illustrate the point.
https://www.pri.org/stories/2015-05-05/earths-biggest-living-thing-might-be-tree-thousands-clones
The original tree mentioned in the article must have sprouted from a seed. Its original stem and roots are probably long gone but it still is not dead. Coppiced trees can have very lare diameters after a few hundred years - how big would it be after 80000 years ?
https://en.wikipedia.org/wiki/Fortingall_Yew
This is kind of similar to coppicing i suppose
https://en.wikipedia.org/wiki/Old_Tjikko
Last but not least. We have restrictions on tree logging here. Alas we also have boneheads who want to cut trees frivolously 'to much leafs in fall' etc.... There are cases known of idiots who killed the trees by poisining the roots.