The transmissions in Acura TL's cost about 4,800 US, and fail just as
often.

No details of engine etc. but 115K miles might not be impressive but must be
into the expected lifetime range.  Cheaper alternative, 1 visit an
independent, 2 get it refurbished, 3  buy a gearbox from a scrap yard and a
local garage can probably fit it.  I personally would not be putting a new
gearbox in a car with over 100K miles on the clock, who knows what will fail
next.

The trans in the early S-Types was a Ford truck  box forcded on the Jaguar
design team by Ford idiots. It's been replaced by a ZF box that transforms
the vehicles driving dynamics. Unfortunately, the Ford morons (let by Jim
Padilla, current ford COO) who claimed they could save $1,000 per car with
the Ford box, won the day but wrecked the car's chances in the marketplace
in the process. Jaguar traded one Prince of Darkness (Lucas electrics) for
another (Ford management). Sadly, the current crop of Jaguars are looking to
be the best they've ever done in terms of quality, yet due to the S & X-Type
fiascos no one will touch the brand. Just like Lincoln, Mercury, etc.,
Ford's bean counting jerks have tanked another car line.