Turbocharging is not necessarely an efficiant instrument to augment performance at high altitude and high speed, altough it appearently worked very well in the RW-2800.
The Jumo-213E at critical altitude developed 200 Kp of exhoust jet thrust.
That´s quite a lot when You consider that the Jumo-004D was producing a mere 380 Kp thrust at this altitude when running at 100% load.
This equates to 200kg or 2000N which at a speed of 200m/s(440mph) from Power = force x velocity = 400kW at the shaft.
Factoring in the propellor inefficiencies at high altitudes this equates to the aequivalent of ~500kW or ca. 670 hp more power developed by the engine in the first place.
Second order maybe but still to substantial to be ignored.
As you know, to get a 10% increase in speed requires approximtely a cubed increase in power whereas it requires only a squared increase in thrust! It does not come in with increased cooling requirements, too (which would add drag in return)! So it´s maybe not worth to waste that source of power to drive a turbocharger, that´s at least the reason why Rolls Royce invested so much in turbocharging. They tried to find a solution to keep the jet exhoust thrust.