This simulation isn't different but it shows the effects of voltage and current offset at the output of the 741 model I have with a gain of 100.I am open to a test setup that demonstrates the purpose of that resistor, especially if it differs from mine.
The model input voltage offset is [V(1,2)] is 1.02mV (typical for the data sheet I have).
The model plus input bias current is 58nA and the minus input bias current is 102na for a current offset of 44nA (my data sheet shows typical values of 80nA for the bias and 20nA for the bias offset).
I switched a 10kΩ resistor in and out (Vsw high is resistor shorted) of the plus input to correct for the bias current (but it can't correct for the bias offset).
As you can see the output offset is less when the resistor is in the plus input.
I will leave the explanation of the Vout offset values displayed as an exercise for the reader.
Correct answer gets an attaboy.