Yes, you can put a 14-50 on the supply line, but you must use a <40a setting on the unit when you do so.
CSP when plugged into the 14-50 will get you 9.6kw, where reports from the rather anemic Ford mobile cord are coming in @ 6.6kw. If you have the CSP sitting there, plugging that into your 14-50 outlet not only gets you a third more charging power, but means you can leave the mobile cord where it belongs; in the truck for emergencies when away from home.How about you install the 14-50 receptacle and use the charge cable that is under the floor of the frunk? Save the CSP for when you are settled in your new home. This is what I have been doing and always get charged to 90% by the morning with a 9pm start time.