Page 21 of Garner's fourth edition reads
One must analyze the sentence rather than memorize a list of common linking verbs. Often unexpected candidates serve as linking verbs—e.g.:
• “The rule sweeps too broad.” (The writer intends not to describe a manner of sweeping, but to say that the rule is broad.)
• “Before the vote, the senator stood uncertain for several days.) (The word describes not the manner of standing, but the man himself.)
A similar issue arises with an object complement, in which the sequence is [subject + verb + object + complement]—e.g.:
• “Chop the onions fine” (The sentence does not describe the manner of chopping, but the things chopped. The onions are to become fine [= reduced to small particles].)
• “Slice the meat thin.”
An elliptical form of this construction appears in the dentists’ much-beloved expression, Open wide (= open your mouth wide)
However, I find it contradictory that dictionaries (for example this one ) include an adverbial meaning with the adequate sense for all broad, fine, thin, as well as the adverbs in -ly for phrases such as thinly-sliced ham or finely chopped herbs.
Beside the issue of participle vs. adjective, the idiomaticity of some expressions is at play too: stand firm.
The OED: reads
THIN (adverb) in a way that produces a thin piece or layer of something I like my bread sliced thin. The adverb tight includes specific grammatical points: ahdictionary.com and oxfordlearnersdictionaries.com
Collins has both adverbs Thin(ly) with the same meaning.
See also STRONG (adv.): "in a strong manner The horse ran strong at the end"