"No influence" as long as the opamp's gain and drive capability are good enough to compensate the effect of R1. Gain is from Vout to Vin and therefore any voltage drop across R1 is compensated by the (ideal) opamp.How can you say that R1 has "no influence"?
As I stated, in "reality" (if you accept the simulation result for such), there is a dependence on R1 and frequency due to parasitics.
I fear a misinterpretation on your side or maybe a not so good expression on my side. Whatever: The gain is 2 = 1+R2/R3, not 2*(1+R2/R3, as my expression could be misunderstood. Sorry for not being totally clear.No, the gain is 1+R2/R3 . See post #11