Nobody liked them because a billionaire bought them where money was no issue 
. However, most teams are headed that way now, even Manchester United.
It's a tactic that has worked well for Chelsea. I'm a Liverpool supporter so I've watched them plenty of times at Anfield. One thing that you need to help them with is their chants! 'Chelsea, Chelsea, Chelsea' seems to be their only chant haha. English football for me is the most exciting sports league in the world. You've chosen well 
We've got plenty of songs, though I do agree the one you noted is a bit simplistic.
Don't forget 'Blue Is The Colour'!
Glasgow Rangers supporter, here.... my English team is Tranmere Rovers. 
Nobody really sings that one. They pump it through the speakers before the games start. The Liquidator, too.
My favo(u)rite songs are:
Willian's song (because it takes the piss out of Spurs)
Keep the Blue Flag Flying High
Over Land and Sea
Ten Men Went to Mow
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And yeah, Chelsea got the rep because of Roman, but like you said loads of teams are heading that way. Liverpool and United with American ownership, too! What I hate seeing is when foreign owners come in and change the entire culture of the club. Look at poor Cardiff.
