I did not understand what do you mean. Why you say " i don't excahnge my player`s improvement for 2000G per week"? What connects the stadium where you play, with player's skills?
Home team always has an advantage.
Better player performance = Better improvement in training
So, if you ask me. I choose not winning 2,000G and take the chance that my players play better, so they likely improve faster playing well at home than playing a bad game away.