the most important part of the draw is the early rounds, it can be a huge difference
for example Leicester city's famous title winning season was made possible because of the draw, they started against sunderland, west ham, Tottenham, Bournemouth, aston villa, stoke, arsenal (they got thumped), Norwich, Southampton, crystal palace, west brom, Watford and Newcastle
so they were a good team but if they started against man city, Chelsea, Liverpool, arsenal and man utd then they would have been beaten in those games then ended up in mid table in mid year and it would be a totally different season
instead they got to face those teams with much more confidence and with the added incentive of staying near the top of the table