This is a pretty common misconception of how latency arbitrage works. In reality the other HFT are not buying/selling new orders. Instead what they are doing is cancelling or modifying their existing orders so that they don't get hit by incoming orders.
HFT firms can have orders that have been resting for a very long time (days/weeks depending on the exchanges/risk rules) and you will never be able to get an order now in front of an order from last week, no matter how fast you are.