AC analysis of opamp loop in LTspice
@Chupacabras
In your simulation for the loop gain, you set C7 to 100F. This are in Spice 100 femto Farad. But L1 and C7 should have very large values. 1G or 100G is no problem, because it is only a simulation.

The correct expression for the loop gain is V(Vout1)/V(X), where X is the
node between (V4,L1,R9).

As LvW already mentioned in the comments, there is no loading problem in this configuration.