Default page template name in FSE theme

Looks like there’s no way to give a distinct name to a default page template in theme.json?

I have 2 page templates: page.html and page-with-sidebar.html
When I just add this to theme.json it works as expected:

"customTemplates": [
	{
		"name": "page-with-sidebar",
		"postTypes": ["page"],
		"title": "Page With Sidebar"
	}
]

However, looks like I can’t give a custom name to the default page template because when I do this:

"customTemplates": [
	{
		"name": "page",
		"postTypes": ["page"],
		"title": "Standard Page"
	},
	{
		"name": "page-with-comments",
		"postTypes": ["page"],
		"title": "Page With Comments"
	}
]

It doesn’t work as I’d expect and I get this:

Is this a bug or expected behavior?