The environmental concerns about concrete are definatly valid when you look at the raw material production process, but for a typical residential garage slab, you are unlikely to run into structural issues by sticking with a proper traditional mix. Cement production is a massive source of global carbon emissions, so the industry is constantly pushing low-carbon alternatives and admixtures.
For your project, if you're just laying a patio or a basic floor, the structural integrity and durability of a modern Portland cement mix are more than sufficient and meet all standard local building codes. The conversation around 'anti-cementism' mostly focuses on massive infrastructure projects like high-rises or long-span bridges, where the sheer volume of material becomes an economic and environmental nightmare. For a small addition, the lifecycle impact is small compared to the benefit of stability and longevity.
When your contractor mentions weaknesses compared to 'newer composites,' they might be referring to the fact that some polymer-modified concrete or ultra-high-performance concrete (UHPC) has a higher initial cost or is designed for specialized applications. Those newer composites are often overkill for a basic slab; they are engineered for specific, often intense, loading conditions or extreme chemical resistance that you probly won't need in a standard driveway or garage floor.
What realy matters for your situation is ensuring the mix design is right and the pouring is done correctly. Use a mix with the correct slump for your application and make sure the subgrade is properly prepared and compacted first. If you're looking to cut down on the environmental footprint of your pour, you coud suggest using supplementary cementitious materials like fly ash or slag in the mix design, but only if you trust the proportions and the crew knows how to handle them. That way you get the same performance with a smaller initial carbon footprint.