[souffle]

I think you do need to check him and see that all is well before setting out on a more proactive taming regime. The longer you wait the more tricky it will become and to ensure he is actually healthy enough you need to lift the hideout and take a look. Where is he sleeping? Does it have an open base so can be easily lifted or is he in the pod but through the tubes.
If this type of hammy were to come to us for taming we would move him in to a smaller, easily accessable cage and work from there. The heaven is great but very big for a baby hamster and some get scared in it and it is also tricky to get them out of without scaring them which is why we move them to a basic cage with a wheel and a box hideout we can just lift and plenty digging substrate, some cardboard tubes and nibble sticks. Once tamed we let them go in the big cage for playtime with no tubes on at all then eventually leave them longer and longer till they move in permanently.