Beeswap and other services don't issue SWAP.HIVE, they buy existing SWAP.HIVE like you and me.Wait, how does anything outside @honey-swap account cover any SWAP.HIVE?
There is like 5.7M HIVE+HP there so the issue does not seem to skew the numbers significantly (whoever is right).
At the moment of posting this, out of the 5.85M that were counted as HIVE supply on HE, only 20k were on the BeeSwap account. Technically all these bridges hold some amounts of HIVE as liquidity for HE, so that is counted as HIVE on HIVE engine, although is negligible compared to the main account.