Put 3-5" of oil in a deep, heavy pot like a Dutch oven and begin heating it. Use your ChefAlarm and set your alarms to 325 and 350°F (163 and 177°C). Mix the ingredients for the breading together in a medium-large bowl.
Add a few tablespoons of the chicken marinade to the dry ingredients and rub them into the flour, creating lumpy bits in the breading.
One at a time, remove the chicken thighs from the marinade, let the excess marinade drop off of them, and dredge then in the flour mixture, coating well, even in the nooks and crannies.
Lay each cutlet on a sheet until they are all prepared.
Once the oil has come up to temperature, gently put one or two chicken pieces into the pot.
Cook, keeping an eye on the ChefAlarm and adjusting the flame to try to stay within the specified temperature window.
Once they are golden brown, start checking the chicken thighs' internal temperatures with your Thermapen ONE. If you find no temperatures below 175°F (79°C), remove the chicken to a paper towel-lined clean sheet or platter. Continue cooking the chicken pieces, letting the oil temperature recover back up to 350°F (177°C) between each batch.
Once the chicken is cooked, prepare the chili oil by combining the ingredients in a heat-proof bowl. Ladle 1 C of the hot fryer oil into the bowl and whisk to combine.
Use a brush to mix the solids up into the oil, then baste it onto each chicken thigh, coating both sides.
Make them into sandwiches and serve!