Upgraded cords for linear power supplies?

Very simple. If it is specified to have an AC output it is by definition, not a linear power supply (which would imply a DC output).Second, in the description Swagman says it is a toroidal transformer with some EMI filtering. Unfortunately they put in the same box they use for other LPS.

I'm sorry to bring this up again, but if the spec of your power supply is an AC output, it is NOT a linear power supply, even it the (Swagman) box it is in is labeled as such.

Not exactly. The definition of an LPS is correct.  A higher current capacity transformer has a chance to provide better speed stability to a TT. I'm not sure why you think it has any caps at all, or what purpose they would have in an AC supply, and I personally think it a bit of a stretch to call a transformer in a box a power supply.For some enlightenment on transformers you might want to watch "pints with Ayre" on utube.