Adrian, as I think you know I've got a '22 F150 Lariat Supercab, 3.5 Ecoboost, 4x4, 6.5ft box with sticker payload of 1848#; I think perhaps similar to your configuration but maybe different trim levels and options. Curious to know what's your payload sticker value?
If things have gone well with your 2015 / Patriot hitch combination and the rated payload difference is only 150# .... I gotta wonder if that's meaningful to prompt a different hitch solution (only you would know what your total loading situation is).
To your Andersen question ....
With the Andersen system you've got two basic choices, rail mount or gooseneck mount. The former is steel, the latter aluminum, but the latter has 'more pieces' so IIRC the weight is essentially the same at ~40#. I happen to have the gooseneck version, as much as anything because the 2005 F150 I used when I got my Escape 5.0 already had a gooseneck hitch installed.
Insofar as the mount affixed to the truck (not offered by Andersen for either type - you'll have to go to a 3rd party for that) I think a rail mount is probably the lightest if you are chasing pounds. My underbed B&W Turnoverball Gooseneck assembly (model GNRK1121 for any 2022 F150 except Lightning) weighs ~80# installed and that's probably typical for any brand underbed gooseneck kit.
A rail mount assembly will almost assuredly be less expensive than an underbed gooseneck assembly, and the installation cost will likely be less, too.
With either you'll need to add another ~15+# for whatever safety-chain arrangement you use (prudence and in most places law requires them with the Andersen unlike with a true 5th wheel hitch such as your Patriot).
There's pros and cons (slightly different total weight, different total cost, bed with or without rails) to each Andersen solution but insofar as actual towing they'll behave identically and the location for either using any reputable 'made for 2022 F150' installation kit will be essentially the same. If you have a bespoke customized rail system installed you might be able to gain an extra few inches of tailgate clearance (IIRC a few folks here have gone that route but I don't have links handy).
I'll not suggest either Andersen solution is "best", nor that any Andersen is better than any particular 5th wheel hitch, IMO that depends on the balance of all of your specific priorities and preferences.
Links:
https://www.bwtrailerhitches.com/kits/gnrk1121
https://andersenhitches.com/product/...te-connection/
(BTW on the Andersen, unless you have a really big toolbox in the bed the 'standard' of either version (#3200 rail or #3220 gooseneck mount) is what you'll want, not the raised or lowered options)
https://andersenhitches.com/product/...ith-rail-tabs/
https://andersenhitches.com/product/...ns-with-plate/
Hope that helps a bit,
congratulations on finally getting your new F150, hope y'all enjoy many happy miles with the new rig!