All I can say is I've had 3 Epson 300's al died very quickly, I used non genuine inks, I can't say if it was the cause or not but non lasted more than 4 sets of ink.

I have been told that the Epson r360 does not accept the cheap inks

Yes, the R360 can use compatible cartridges. It can use refillable ones and also use a CIS kit. Just ensure you use cartridges with the latest chips.
Stay away from the CISS system on this machine.
I know a bloke who's sold loads of them and nearly all came back however the refillables are fine.