Default [Q] xperia zl roms for various types of zl

Hello, my sister is using xperia zl. its a nice phone. but not mainstream. im think i wanna root it and flash custom roms. But since there are 3 types of xperia zl in my contry C6502 (HSPA+), C6503 (LTE), and C6506 (LTE), would it be okay to flash any roms for the zl? or it sould be particular rom for a particular type. shes is using the C6502 (btw, really sorry for my english. i hope you can understand my question).
thanks.