Hello Mr Gumble! There's no exact right or wrong here as many argue the benefits of 2.2 vs 2.4 and vice versa.
On the Sonys, Gamma at 0 = 2.2 and -2 = 2.4, bizarre I know. Personally, I watch in a dark room and prefer -2 (2.4) for the extra contrast and pop it produces. You may prefer 0 (2.2) if you like a more even image, or indeed 0 works to retain more shadow and mids details in brighter conditions (during day time viewing, for example).
This gets muddied a little bit with HDR, as there isn't technically a gamma in HDR content... so the slider on the Sonys becomes a manipulative tool (but its there because of the way Sonys map their SDR configurations to HDR, mainly affect you if you calibrate). HDR content should have the gamma at 0 for correct tracking... fortunately the Sonys retain the different settings for SDR and HDR within the same picture mode when it comes to Gamma, so if you want dark room excellence set to -2 in SDR, and then 0 when feeding it an HDR signal and it will always change depending on source, even on the same input.
As for Colour, Expert 1 is the most accurate out of the box and closest to D65. In my preference any of the others are too blueish, but that's how I like my images (closest to creator's intent). The main advantage of Expert 1 is access to the 20pt calibration controls... I don't believe they are accessible in the non-Custom for Pro modes though. As for "Warm 2", I'm guessing you mean that being the most accurate temperature on another brand (LG?), in which case, Expert 1 or 2 will match that as far as out of the box settings.
Hope that helps you sir!