Delay is due to cell and interconnect. When area is congested, when tool calculates timing, it may consider detour routes, adding more delay.
When cells are spreaded just enough to solve congestion, it may reduce route length as well, helping in congestion and timing both.
Instead of broad spreading, use more localized techniques: Apply partial blockages with lower blockage percentages (e.g., 10%) only in the absolute peak congestion GCells, rather than large areas.
