Mods feel free to merge if there is a more appropriate thread for this.

Looking to fly JFK-LHR this summer, and have the options between AA and BA J or F. This will be a paid fare, so I'm just trying to decide what the best option would be, as the prices are the same.
Generally, BA club suites > AA 77W J, correct?
And I would assume BA F > AA 77W F correct?

Now what further complicates this is I would like to burn my SWUs on a J-F upgrade. Would I more likely clear into F on the AA or BA option for 2 pax (Sunday evening in August)
Contemplated paying for F ($700 difference per person) however for a short overnight transatlantic like this, not sure how worth it it would be. I've already been to the Chelsea lounge at JFK anyway.

Lastly, as an EXP flying on a flagship itinerary, I will have access to the Soho lounge (if we remain in J) correct? Will I get to take a guest with me?
And we'd be connecting in LHR, so if we remain in J, what's the best lounge I could access as an OWE with a guest? What if we do end up in F, what lounge can we access during our connection at LHR?

Thank you!