My house has some LSL (Laminated Strand Lumber) beams which, like CLT, are engineered, but are built up from wood strands of and a lot of glue instead of from boards like CLT. As a result, they can be made from the remainder products of milling lumber.
They can even be made from rapidly harvestable plans like bamboo:
There are many forms of fungi (mold, various rot) that can feed on wet wood. There are not many forms of fungi that can feed on cured adhesive, which also functions to prevent the wood that is there from getting wet. Thus, I'd expect engineered/laminated timber to be better at repelling rot than standard untreated timber. Done well, it could last longer than steel.
It depends on how the material is designed. Some materials like commonly available particle board, can't get wet at all. They swell up and crumble. On the other hand there are grades of plywood that are rated for wet applications.
They can even be made from rapidly harvestable plans like bamboo:
https://www.sciencedirect.com/science/article/pii/S095006181...
This company appears to be making them:
https://www.moso.eu/en/products/bamboo-beam-panel-veneer/bam...