Do you still get instability if you set the scope to "one shot"?

 

Another picture of a working variant that shows breadboard layout detail,
Use 2 100uF and 2 100nF on each +/-12V rail.
There are more than two good replicators that showed it works, Why would they use diodes?
Wien Bridge Oscillator Construction and Performance - Equipment, Tools & Supplies / Test and Measurement - Electronic Component and Engineering Solution Forum - TechForum │ DigiKey

Study specifically done on the the use of anti parallel diodes in Wien bridge oscillator
Outreach_ProjCircWienBridgeOsc

Thank you very much. Those articles were very good.