I think you can say the same about green card holders in the USA. Or there is some specifics that specifics between treatment of permanent residents in USA vs Canada?
This is not a topic I am super familiar with, but I believe the answer is yes. For example, in Canada, permanent residents have the right to enter the country, similar to Canadian citizens. In other words, they enter the country by right, not at the discretion of CBSA officers. This is not necessarily the case in the US. Trump's travel ban initially prevented green card holders who happened to be outside of the US when it came into force from re-entering. This was loosened later on after protests [1].
Another example is that new immigrants to the US (those who have gotten their green card within the last 5 years) are not eligible to buy Medicare [2] or if low-income, to get Medicaid [3]. Permanent residents of Canada have the same rights and access to public healthcare as Canadian citizens.
In the US, American citizens do not have to carry or present any form of ID, but according to a law that is thankfully rarely enforced, not having your green card on your person at all times is a criminal offence. ("Failing to have your green card with you is a criminal misdemeanor. If you are found guilty you can be fined up to $100 and put in jail for up to 30 days. (I.N.A. Section 264(e), 8 U.S.C. Section 1304.) " [4]). Canada does not have discriminatory laws like this applying only to permanent residents.
So the difference is both in specific laws, and the general attitude in lawmaking. Existing Canadian laws and new legislation tend to give the same rights to permanent residents as Canadian citizens (with some exceptions), but in the US, the legal framework creates a bigger gap between the rights of those two groups.
[1] https://www.reuters.com/article/usa-trump-immigration-idUSL1...
[2] https://www.insubuy.com/medicare-for-new-immigrants-green-ca...
[3] https://www.healthcare.gov/immigrants/lawfully-present-immig...
[4] https://www.nolo.com/legal-encyclopedia/do-i-really-need-car...