No it doesn't make any sense, you said they are the same size.
Outlet -- UPS 'A' -- UPS 'B' -- PC
UPS 'A' would have to be much higher capacity that UPS 'B' because when UPS 'B' is charging batteries it input is a heck of a lot more than it's output.
If they are the same UPS 'A' will overload and most likely trip off all together leaving 'B' with no AC to it and uncharged batteries.
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