To be clear, blockade or no blockade, hyperlift spaces are not adjacent and you can never use boots or teleportation to travel between them.
That is not what the rules say:
You can use Boots to move through a Hyperlift or Telepad space without using the Hyperlift or Telepad itself.
The only question I have is that the forst Hyperlift space only has the dotted line between it and the next Hyperlift space so I wonder if you must use the Hyperlift to advance that one space. All of the other Hyperlift spaces have regular movement lines connecting them to other spaces.