So from that perspective you're describing the first two "explore" and "expand". The third is also interesting "extract" where a project reduces risk over everything else.
Both are missing the fourth part of a lifecycle. If we take the 4x analogy further (which is a popular video game genre) then there would be a "extinguish" phase. In a 4x video game that is where you take over the whole play area (map etc.), essentially by bullying out or assimilating the other factions.
In the real world this is also kind of true (see Amazon as a popular example in tech, or price dumping strategies practiced by Pharma and other large industries). But it is generally frowned upon as it hurts the economy and erodes social contracts. Also for most projects and organizations it isn't feasible to do so. So the "extinguish" part could be understood as "gracefully fading out" from which new cycles can be grown.
[0] https://medium.com/@kentbeck_7670/fast-slow-in-3x-explore-ex...
When new platform is being worked upon it's extremely difficult to get product teams to adopt. The PMs on the product teams view a new platform as a distraction because it seemingly doesn't help them launch new features. Worse it's taking the engineers who could be working on features to integrate with this new platform.
Typically during planning phase not too many oppose a new platform. However, when it comes to integrating (or adopting it) then everyone suddenly becomes conservative; no one wants to be the first mover, take the risk to be early adopter. It could also stem from product teams' prior experience of having burnt their fingers trying to integrate with a new platform.
I have seen quite a few platform teams get abandoned after everyone signed up. The platform team need to put in an extra effort to get product teams adopt.
And I totally understand the impulse to kill it. Do not unleash it onto the world unless you have thought about your projects long term future (something php & js ignored to do at the time it seems). Thus you end up with tons of pet projects that are either sensibly kept private/ununleashed or because people fear the judgement of others (aka the kill it impulse).
I'd say the nature of the beast is that entrenchment/reinforcement of existing tools/patterns and mental models tend to stick around as they are safe, so a ton of innovation never occurs as someone might not bother to follow a certain path. It's the same with water flowing into existing grooves/cracks in rocks, instead of making new grooves, unless forced to.