The land bridge is their "solution".
I don't see taiwan as similarly strategic to china. It's more politically motivated - that taiwan has turned into a democracy that is pro-west, right on their door step, instead of "returning".
On the other hand, an invasion of taiwan is something that can be used to quell domestic problems...
Their goal was (and is) not that. Their goal was the destruction of Ukraine as a country, and it's forced reunification with Russia as a foundational step in the re-emergence of a Russian empire.
If you read Chinese defense arguments about Taiwan, they basically make the same hypothesis. Control of Taiwan forces the strategic sublimation of Japan and Korea, and re-establishes a Chinese empire.
Dictators don't come up with new ideas.
Russia already had naval basing rights is Sevastopol, before the invasion of Crimea. I don’t think the strategic explanations hold up.
The writing was on the wall at the time - ukraine was leaning towards the west.
Not saying this was the only reason for the invasion, but it is a factor.