I dont know how easy it is to change but yea there is that delay always at least 2-3 seconds... an enemy quick on his feet can kill you by that time...
I have a decent pc and decent connection but that issue remains so I think that while Solars may be Internet/PC related that he has such a huge time spent, the bare minimum of 2 to 5 is from the engine in fact.
Similarly with TB by the way... annoyingly during those 5-6 seconds people act in Real Time despite the fact that it should be TB. I have done it myself that I enter an encounter and have time to fire a burst in RT before the game goes in TB which is also lethal... To make matters worse many times you burst, TB starts and its your turn again! So you can end up doing a full clip of bursts just like that.