Q.Should I remove some of tiny developing lemons on my tree
I have a container growing lemon tree that has had lots of blossoms this year. It now is developing tiny fruit, and some branches have more than several growing. It doesn’t seem like the branch would hold that much mature fruit.

You're right, some of that tiny fruit should be removed. Here's an article about fruit-thinning in general: https://www.gardeningknowhow.com/edible/fruits/fegen/reasons-for-small-hard-fruit.htm
and one on the natural habit of lemons that you might find informative: https://www.gardeningknowhow.com/edible/fruits/lemons/lemon-tree-fruit-drop.htm