Quarantine rules were scrapped two months ago.

Yes, her statement is just simply wrong.
Currently you are supposed to quarantine but nobody checks. There is no guarantee that next year it will be actually dropped and they will say please, roam as you will right after you arrive.

This is wrong. Currently it’s 0 (quarantine) + 7 (Heath monitoring).

You are supposed to do health monitoring but nobody checks.

"Place of Self-Initiated Prevention
Q2.The 0+7 policy takes effect on October 13, 2022. What requirements are there for places suitable to undergo self-initiated prevention?
A2: Places suitable to undergo self-initiated prevention should in principle be one's home, a residence of a relative/friend, hotel, or another form of accommodation that meets the one person per room (a private room with a private bathroom) requirement. However, arriving passengers who choose to undergo self-initiated prevention in their home or a residence of a relative/friend can stay in a private room without a private bathroom if shared bathrooms can be cleaned and disinfected every time after use."

So to basically all the world other than China, that sounds like quarantine. Quarantine means restrictions. No quarantine means no restrictions.

No, it is NOT quarantine. Quarantine means you must stay in your room and not go out. There are no such restrictions in Taiwan now. You are free to move about the country, go shopping, use public transportation, see the sights, attend business meetings, etc. as long as you have a negative test within 48 hours. That is not a quarantine.

Some hotels state not to be used for quarantine. So are you saying no hotel will turn you away for just having arrived?

That used to be true when there was a quarantine policy.

Now there is no quarantine policy. Hotels do not ask you if you are doing self monitoring and have no way of knowing. You can check into a hotel immediately on landing.

I am trying to figure out if any hotels will try to enforce it. If you do not use an e-gate there will be an entry stamp, and when checking in to the hotel they ask for your passport and can look for it? No chance of a hotel trying to enforce anything?

Basically I am trying to figure out this concept of "self-initiated prevention." So if I choose not to do anything to follow the guidelines, because I have a choice as it is self-initiated, then it is fine?
Like taking the RAT.

I'm currently in Taiwan and have stayed in 2 different hotels. One did not even ask for a passport. Yes I have an entry stamp, but hotels only look at the photo page for identification, not your entry stamp.
My friend also landed this week and went straight to a Marriott and checked in no problems.

I am not going to advise you to do anything that doesn't follow the local laws. By the law you don't have a choice to follow "self-initiated prevention" or not. "Self-initiated" just means that you are obligated to do it yourself, as you are obligated to follow the rest of the local laws.

Enforce what?

This.

I take "self-initiated" to mean that YOU are your own enforcer.

The reason I ask these questions is because I understand many people of Taiwan are concerned about COVID, and thus wonder what enforcement they would take. Unlike Vietnam, where nobody cares about COVID (basically like the US). Just want to know if I go what I can expect or not expect.
For example, I heard about someone who felt ill and tested positive and thus was forced to cancel their flight and quarantine for a period of time. I'm not saying I agree, but in the US if you test positive you can do whatever you please still.
Because technically you are supposed to do the RAT after a couple of days-what if you are asymptomatic but test positive?

According to the current regulation (0+7 scheme), you can stay in a regular hotel as long as you test negative on the day of arrival or the next, which all arriving passengers are required to do. If you tested positive, you should let the hotel or local health administration know so they can move you to centralized quarantine or a hospital.

Some hotels do still ask for travel history and they can refuse guests based on that.

If an arriving passenger plans to stay at a hotel, it might be best to inform the hotel beforehand to avoid unpleasant surprises.

I was in Taiwan in transit for 9 hours end of November. I was given the test kit on exit. I went into the City and visited a tea shop, had a massage and then dinner at a restaurant. No one asked for anything. I didn't do the test and when I went back to the airport, no one asked for anything again. In your case, if you have to stay in a hotel, the only restriction is the room has to have its own bathroom. You cannot use a capsule hotel or hostel with shared bathroom.