Op-Amp output inconsistent with theory
No - it is not a problem of simulation software. Surprisingly, the result is correct - but not realistic. What does this mean?
Theoretically, the result would be correct under two environmental conditions:

No power switch-on transients (power available since (t-infinity))

No external disturbances (noise, etc).


During simulation, the program automatically assumes these two conditions - unless you specify other conditions.
However, if you would switch-on both (or one) supply voltage at t=0, a transient analysis would reveal that the circuit is saturated due to positive feedback.
The situation can be compared with a mechanical model: A system of two balls - one lying upon the other one - could be stable as long as there is absolutely no external disturbance. But this is NEVER the case. The same applies to the real opamp usage: Power switch-on transients, supply voltage is not absolutely constant, noise,...)
I think, in 99.9% of all cases, the simulator does not fail but the user (misinterpretation of the results)
Comment: But there are two indications that the simulation result is &quot;problematic&quot; (not wrong, because the simulator was correct) and should be investigated in detail (under real conditions):

In your simulation, the output is positive - even with an input at the inv. node.

An AC analysis would show a rising phase function (which is also not realistic).