Even for websites that allow switching accounts, I prefer to use containers especially if the accounts go across different "domains" of my life. If I must log in to something personal at work or vice versa, I generally use a container for that to keep them separate.
I may be fooling myself and google can identify it anyway through my IP or something but it feels like I get a little extra anonymity.
Like if I want to just check syntax for a new programming language, ddg can handle the search just fine, but if I am doing initial research for a problem I don’t understand well, I need Google to get consistently relevant results.
But this is just my personal experience.
It took about a week of trying and I was successful at Walmart and BestBuy.