>

No, they aren't technically grilled cheese sandwiches.  Taking a slice of bread out of the fridge and putting any kind of cheese on it isn't a grilled cheese sandwich, so why would a bagel be one?  Most people also eat half of a bagel at once.  And they eat them fresh or toast them.  They don't grill or pan fry with cheese.  So.. it's not grilled.. it's not a sandwich.. and there's an argument to be made about the cheese part as well.
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When have u ever seen a bagel w cream cheese get grilled
And please god do not say "creamed cheese" .... The mind recoils >

I just creamed cheese >

I just cheesed cream. >

Disagree as the cream cheese is meant to be served chilled. It’s not grilled into the bread. >

I don't know about your bagels, but mine are nice and warm out of the toaster, so the cream cheese gets warm when I spread it. >

Interesting. I prefer to wait a minute or two after my bagel is toasted so that the cream cheese doesn’t melt down. I wonder if most people just spread the cream cheese right on the hot bagel? That sounds nuts to me. >

I grew up (in Michigan) calling these toasted-cheese sandwiches. >

Disagree. Not only because the cream cheese itself isn't grilled, but how often do bagels with just cream cheese get eaten in sandwich form? Usually most people eat half of a bagel at a time, not sandwiched together with the cheese in the middle. >

It’s not grilled. The bagels are toasted and the cheese is spread cold. >

Try it grilled >

This is like saying that when you take a bath you're technically a soup >

A person in a bath is, in my estimation, NOT soup. Cereal in milk might be, though. >

Quesadilla with salsa, cheese pizza, grilled cheese with tomato soup…all different arrangements of flour, tomato and cheese >

I've seen the madness of an old elementary friend who microwaved cheese and put it between soft bread and called it a grilled cheese sandwich >

Best bagal is heated on a bagal steamer and if you have not had you just don't know. >

Since you went with "technically", it's technically not, because it's not grilled. That would be toasted. 
In a grilled cheese sandwich the outside of the bread is buttered or oiled and then it's grilled in a pan or toaster oven. Never in my life seen a bagel with cream cheese prepared this way. Would probably be delicious though.