Yes, the lag in response of the jet engines required a longer approach at landing and required more time to build up speed at take off.
It would not be a real problem in normal situation, for the 262 was a problem because of the catastrophic situation of Germany.
Definitely, to minimize the risk to be strafed on landing you should fly a Fieseler Storch
But dangerous unreliability is in general valid for every new engine or new aircraft.
For instance the Hawker Typhoon was not safer than the 262 or P80 in her first year of service, her over-complicated Sabre engine was rushed in production before the youth problems were solved and the aircraft was also prone to structural failure (the resonance of the elevator counterbalance was breaking the tail)
And the 190 itself had a nasty tendency to roast in her first service variant, while the 109F1 was breaking her tail too and had to be quickly fixed on field before the weakness could be cured in production.
At least in the 262 all you had to do was 'just' replace the engines in good time...
btw, I recall a video where an US pilot (maybe Strobell?) said that the change of the Jumo004 was done in less than one hour. A bit expensive maybe, but given the availability of the spare engines it should not have impaired the service records.