CoWoS-L is not just a 'newer version' of CoWoS-S, they're two different packaging technologies that TSMC decided to use confusingly similar names for. TSMC has built out FAR more CoWoS-S capacity than CoWoS-L.
CoWoS-S is multiple chips mounted to a monolithic silicon interposer. The 'limitation' is that the interposer can only be so large, but interposer sizes have long ago surpassed the reticule size limit through multiple aligned patterning steps (double-size and quadruple-size, and TSMC have already announced 6x reticule size interposers). Because its all-silicon, there is no differential thermal expansion because the CoTE is the same for the interposer and the dies. Fanout needs to be routed through the interposer, but that also means the hosted dies do not need to handle fanout.
CoWoS-L is TSMC's totally-not-EMIB technique. Multiple dies sit on a traditional substrate, but additional dies are embedded under the substrate to handle- some-but-not-all inter-die links. These embedded dies are only large enough to handle the interconnects, far smaller than the overall chip. In theory this means they are cheaper than a monolithic interposer even with multiple link dies in one chip. The penalties are that hosted dies need to still handle fanout themselves, hosted dies need to handle two different types of bonding (to the embedded dis via microbumps or similar, and to the organic interposer via solder balls), and the chip has different CoTEs across it so thermal cycling wants to flex and buckle it.
Intel have been shipping EMIB since 2017, so have plenty of experience in hot to work around these limitations to achieve those theoretical cost savings. TSMC have not, and in this case potential cost savings have to face the cost penalties of both a delay in shipping products, shipping a small number low-yield (and thus low margin) products, and the up-front costs of respins and fabbing new dies to deal with packaging issues.