Ever since the 3Spk team announced their plans for the LARANYX token and the S.I.P., which I don't recall the term for, I don't understand why token burns are still being implemented and promoted.

Why wouldn't they? Putting the tokens in an account and locking it away without a key is no different, just a different line item on the token supply. In the end it is pretty much the same thing, just using null instead of some other account. With burning they are removed from the supply, with locking it away they are not.

It seems using those funds to lock up liquidity is a far better use for them.

Providing liquidity goes completely against the idea behind the game and the token.

Also, are the number of miners, clouds, gpus, and asics limited in supply or infinite?

Infinite, provided there is APE to purchase them.

When we buy them do we actually own them and can sell them if we want?

They are non-transferable and locked in the pool you stake into.