@EOTFOFYL
The first amendment says exactly:
Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the Government for a redress of grievances.
The wikipedia article you took your quote from is talking more broadly in the sense which applies to many nations which define it more in political lines, which the constitution does not expressly mention, nor can I find any rulings within the supreme court that would allow a government to indefinitely close a business or prevent its operation. (Similar to how the Supreme Court has yet to rule on the constitutionality of curfews.) The closest I can find is that SCOTUS ruled against Governor Andrew Cuomo's rules on religious gatherings during COVID 19 because it was against the first amendment. (Here is that case: https://www.oyez.org/cases/2020/20A87)
When you're talking about people's livelihoods and the fact that small businesses can't afford to stay closed indefinitely like this, it essentially is the government overreaching. Just as the government technically can't force you to wear a mask (but businesses can), they can't force a business to temporarily close down for an indefinite amount of time if they are not doing anything that harms the public.
For instance: a quarantine is when you separate sick people from society as not to infect people in wider society. It's not quarantine when you lockdown everyone within society but a handful of essentially people, as that is outside of the abilities of the state to enforce.
Think of it like this: people have the right to put themselves into bad situations or potentially dangerous situations. It goes with the right to bodily autonomy that if someone wants to do something that may harm themselves, it technically cannot be outright illegal as people have the right to do with their own bodies what they see fit as it is their property. Therefore, I would classify that someone would have a right to operate their business in a Quarantine because they are taking a risk, just as the customers have the right to attend, even if they are putting themselves in risk.
What's more important, freedom or safety? The right to make a living or to prevent people from potentially catching a disease? Where is the line, and if you favor the latter, what occupation could you not argue exposes you to a disease?