The main ingredient of lacquer thinners is acetone, which is mildly polar. So better than IPA, but not the best cleaning candidate here.
To put things into perspective, relative polarities of proxies for common solvents are (v water =1.00): IPA 0.62, acetone (lacquer thinners) 0.35, hexane (WD40 contact cleaner) 0.009. Lighter fluid and white spirit are mostly low-polarity hydrocarbons so they would be at the bottom of the scale.
However, an essential quality of a track cleaner is that it should not leave greasy residues, so more volatile hydrocarbons such as hexane are desirable. I'd guess lighter fluid is probably better than white spirit in this respect. WD40 contact cleaner looks the best candidate, but some of its rivals include lubricants and these may fail the greasy test.