I was about to book my first solo transatlantic since the onset of COVID, but I'm glad I read your post before doing so. I have no interest in being a head waiter's afterthought nightly at second seating.
During my last crossing I happily found myself at a second seating table with the most interesting collection of solo travelers including a concert pianist, and incredible well read international tour bus driver (and retired banker) from Glasgow, a highly successful real estate agent, a professional ballroom dancer and the absolutely delightful UK Customs & Immigration Officer who efficiently processed all of us entering the UK -- without having to stand in line with all the other passengers... They made the voyage one to remember.
My last experience was motivation to do it all again on route to a few weeks in London attending PROMS events, including a great seat at Royal Albert Hall for the Last Night of the Proms. Now I have to decide if that quick overnight flight from the US to Heathrow isn't better than rolling the dice for dinner companions nightly.