At first I was appalled at the Barbarian Spawning in Civ VI, but there are a number of things that alleviate the problem:
1. As others have said, stop the scout from getting back to the Camp, and they don't spawn. Also, the Barbarian Scouts don't always act with any intelligence - I've had them run away from my unit, then turn around and run back so I could kill him when a straight run away would have gotten him clear.
2. City States aggressively go after Barbarians. And early in the game when the Barbarians are most annoying, City States spawn units almost as fast as the Barbarians do: if there is a City State on one side of your start position, it will stop most of the Barbarians from ever getting to you.
3. Early Barbarians are aggressive, but no better at Tactics than the rest of the AI: once you have Archery, an Archer and a Warrior or two can wear down and destroy most Barbarian camps, even after they've started the 1-unit-every-turn-or-two spawning - as long as you don't let them build up an army before you start.
And finally, as in the screenshots the OP posted, if you have Tundra next to your Start position, you will 100% guaranteed have Barbarian Camps spawning and re spawning in the Tundra or the Snow. If you are playing Russia with an almost guaranteed Tundra or near-Tundra Start, plan to send you first units into the Tundra to take out the Camps as fast as they spawn, and later on either keep a 2 - 3 unit 'army' there to 'farm' Barbarian Camps (if you work it right, each of them not only gives you promoted units but also gives you Gold and Religion points) or place strategic Scouts to cover the territory and minimize the Barbarians.