For one, Axl does not have a 'permanent supply of reinforcements'. He has two Bub clones who came with him due to a PS, and when he dies, they're gone, as they were an ability, not any kind of passive attached to him. For another, his (and Snake's) stealth doesn't work very well while in a minefield, and while both Joanna and Liquid can see through it (Hind comes with IR vision).
...plus, Big Boss has his own cardboard box. And his blows up if you mess with it
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We are thought, and reality, and concept, and the unimaginable