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TS5A22362 can support bipolar signals?

Part Number: TS5A22362

Following Kai's suggestion to make a local negative supply for TPS3501, I thought it better to check out if application circuit TS5A22362 having  bipolar signal is ok with GND referenced supply.. According to my understanding of  this chip, the switch can pass  both +ve  & -ve  signals. In our case, signal amplitude is <250mV. 

Pl see below

Any suggestion will be highly appreciated if there is anything design issue here.