Search a bit. for the sake of letting it different they changed the name of the SoC. both of them have the same set of hardware inside that chip just that redmi one is OCed.
theres a teardown on miui forum ,where it shows 8228, i dont know if its just OCed 8226, but qualcomm lists 8228 and their speclist displays the single core speed as 1.6ghz,just coz it heats up doesnt mean its due to overclocking, there could be a lot of other problems, from what i have read and seen in the forums , the new update has resolved the heat issue (it was due to the cpu governor ,i think ;leading to the cpu being operated at higher frequencies than necessary)
Need Tips for fixing Overheating & battery drain and upgrade ? - Page2 - Redmi 1S - MIUI Official Forum
and third party apps arent exactly correct too, for mi3 cpuz and all showed it having SD801
So if you are into research make sure you are doing it at the right places