CAS needs high speed as possible, much payload and much armor.
So you need strong engines, and so jet engines are a logical choice.
So I'm sure the speed gain was seen in comparison with other CAS and not with Fighters..
If you don't dive bomb, a jet CAS will provide many advantages over piston engine driven. As soon as you have reliable jet engines.
Reliable jet engines were rare at the end of war for GER, but nonetheless the existing ones were improved and getting better and better.
That they might have not beeing cost effective if you have already plenty(thousands!) of CAS at hand might be logical too.
For GER in late war it was a different situation as for the allies after(!) the war..
So that a nation could build Jet-CAS in WW2 should not be dependend if that was not done by allies, because of lacking tech at that time or not willing to do because of cost savings after the war.
Or because a Ger that had many such techs in development but was not capable anymore of fielding them because of industry shortage..
It should be dependend if you have researched the techs and are willing to invest in a new modell. The same as for Jet Fighters or Jet Bombers.
Ho229
And as a sidenote, afaik the Ho229 was seen superior in handling compared to the Me262 by testpilot Ziller. So the Ho229 was able to outturn and outclimb the Me262 while having nearly the same other benefits.
For the "instability guys" here, the last tested prototype did some heavy testings on maneuvers before it chrashed due to an engine malfunction, not an aerodynamic problem as such.

To be more precise, on last testflight the plane got maybe an engine malfunction(one engine failed). It was reported that the responsible technican said that one engine had previosuly problems and shouldn't have been used anyways for that flight. But as no replacement was at hand..
Ziller then seemd to try and restart that engine, by dropping out of great high down to ~800 meters and doing ups and downs. Nothing you would do with an highly unstable plane. Even more with one that lost the power of one engine..
Then at some lower height already the landing gear was put out with the emergency system(later reseach found out that hydraulic system failed so air pressure emergency system was used, and the sudden aerodynamic change might have led to more problems) and the remaining engine seem to go to full throttle wich put the plane in a dangerous situation wich could not be recovered by Zillner. He seems to have tried to the very last to get the plane under control and did not ejected with the ejection seat, nor did he find the time to contact tower with radio. Seems that all went really fast.
So overall, the plane was clearly not mass production ready by then, but also not a dead end either.