I don't think the Outlaws have made any specific burn-in recommendations for the processor and amp. I don't recall noticing any change in performance. I have only really felt like burn-in changed the performance of my speakers, plasma screen, and Peachtree Nova 150. In the case of the Peachtree burn-in made a surprisingly big difference over about a month of use.
Outlaw Audio Model 976 / 7700 / Ultra-X13
B&W CM9, CM Center, DS3 (side), DM303 (back)
Blue Jeans Cables (XLRs, Canare 4S11 Bi-wire, HDMI)
Tivo Bolt, Xbox One X, AppleTV, LG C765P
Roon, Allo Digione, Sonore MicroRendu, Uptone Audio LPS-1, Peachtree Audio Nova 150
GIK Acoustics Soffit Bass Traps, 244 Panels, Monster Bass Traps, QRD7 / Polyfusor Diffusers