Your logic favoring the Monolith as a cost effective power upgrade adds up. Double the power will get you ~3 more db of low noise output compared to the 7000x.

The Outlaw might differentiate itself if you have a lower noise floor listening room or a speaker load that benefits from the differential amp design (additional benefit when feeding a balanced signal). If you've allocated more total system cost to the speakers and room then the Outlaw may be a proportional upgrade.

Both amps have ATI family heritage, good power supplies.
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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 Series X, Panasonic ub820, AppleTV 4k, LG C765P
Roon, Allo Digione Signature, Sonore MicroRendu, Uptone Audio LPS-1, Peachtree Audio Nova 150
GIK Acoustics Soffit Bass Traps, 244 Panels, Monster Bass Traps, QRD7 / Polyfusor Diffusers