Yes, It would fucking matter to any non-oil club in the world.
Chelsea, United, City can afford to be outside Top 4, not us.
You only have to look at Liverpool to understand what a slippery slope it is to be outside Top 4.
They were out of Top 4 in 2010 and in 6 season since, they have only been in CL once.
We won't be as pathetic because we have better resources than Liverpool but you can get a good idea.