I'm going to extend OP the benefit of the doubt on the model name here and say this: it sucks that Lenovo have diluted the "ThinkPad" brand and it sucks that they didn't remove the bad models from their Linux compatiblity list.
On the flip side, I think ThinkPad workstation laptops (T-series and above) are still safe for Linux. Just avoid the convertibles and tablets as well as the budget-range Edge series, which are frankly bad computers overall.
Does that more satisfy you my hair splitting, persnickety friend?
I'd guess that if you came up with a link[1] showing that the T540p was indeed sold with a Bay Trail processor, 'chx' would apologize profusely, publicly eat his hat, and probably come over to mow your lawn. Alternatively, if for some reason you misspoke as to which processor generation it had, you might consider making the world a slightly better place by correcting your error and apologizing for the apparently trivial bit of misinformation.
[1] Like this one, but with Bay Trail than Haswell: https://www.cnet.com/products/lenovo-thinkpad-t540p-15-6-cor...
This merited a strong reply because contrary to this allegation, the rule of thumb is to recommend a ThinkPad T or X for someone looking a Linux laptop.
You can accuse an old Porsche 911 SD of having problems with the front engine but people will be quick to point out that a) Porsche 911 only had an SC and not an SD version b) the Porsche 911 engine is in the back.
You didn't. Bay Trail is an Atom and there has never been a ThinkPad T with an Atom chip.
Not to mention that the 40 generation didn't have a T540. It had a T540p with various Haswell CPUs from cheap i3 up to i7 4700MQ. ThinkPads always ran wonderfully with Linux. It is the only with a p, all other T5x0 machines from the T500 to T580 didn't have a p (performance) postfix.
I do not think there was any ThinkPad ever for that matter with an Atom chip but here I might forget some bad apples. But certainly not in the T and X2... series, these are flagship business class machines.
Maybe some Ideapad? Yoga? Flex? whatever 2-in-1 -- but who cares about those.