Probably not ;)
The actual info I'd rely upon at this point:
https://www.phoronix.com/benchmark/result/raspberry-pi-5-coo...
pi5 with active cooler is about 1.2-1.5x faster than pi5 without cooler for most workloads that care than without.
Pi5 with active cooler is about 2-2.5x faster than Pi4. So Pi5 without cooler is probably about 1.5x faster than pi4, depending upon workload. (And more than this for quick bursts where thermal mass wins).