Yes, since the amounts match across all four networks, it seems clear that most transactions must have happened before the forks—otherwise the amounts should diverge with the differing economic activity of various coins. In fact, it looks like most of the bitcoins on 1HQ3 were sent there in April 2013.
When BCH and BTG spun off from Bitcoin, the new networks bootstrapped with Bitcoin’s UTXO set at the corresponding fork heights. Since transactions are incompatible between the networks, BTC, BCH, and BTG transaction activity has been completely independent from that point on. On the other hand, BSV spun off with a compatible transaction format from BCH, so there are some transactions replayed between the two networks, still, most transactions are unique to either network.
Therefore, you would track the funds on each network independently. As Prayank suggested, Blockchair has a shared search for a number of networks, so you can find information for BTC, BCH, and BSV via one search for address 1HQ3Go3ggs8pFnXuHVHRytPCq5fGG8Hbhx. Blockchair does not serve data on BTG or most of the other 40+ Bitcoin forks that spun off from Bitcoin since 2017, so you would have to find block explorers specific to those networks for further research, but all of them should also have the same balance.
