> So you are saying HFT will avoid your market order in this case, while HFT will provide better price when they are the sole counter party in separate liquidity pool?

Yes, absolutely. The best feeds (tightest spreads) are only given to specific clients who are requested to trade exclusively with them. If they detect you splitting your orders up between venues, they'll worsen your feed. The feed they'll send to public lit ECNs will generally be their worst (widest spread).