There isn't a direct relation.
However, you could optimize in a certain direction. Sacrificing latency to get higher bandwidth is a switch in mindset, from single thread to multi-thread optimization. So when they moved from L2 being the LLC to L2 being private and L3 being the LLC with Nehalem, it was a push towards better multi-threaded performance. L3 on Nehalem would be slower than L2 on Core 2 in single threaded applications for example.
With multi-threaded applications, you need the bandwidth of the caches to scale with cores to keep it scaling.
They are on a transitional phase to move away from the endless Skylake stagnation so there will be a lot of improvements, but on theory what I said would apply.
The reason why I thought that was because in the Chips and Cheese deep dive article, the author stated:
High bandwidth at high clocks doesn’t come for free. At all cache levels, Golden Cove has to cope with more latency than Zen 3. In exchange, Golden Cove’s L1 and L2 caches are larger than AMD’s, and deliver more bandwidth.
This to me kind of implies Intel made a trade off between having big, high bandwidth caches at the expense of some additional latency, which they mitigated with the much bigger ROB. But perhaps the extra latency is more due to the bigger size of the cache rather than the enormous bandwidth.