Higher inlet temperature means higher head for same pressure ratio and gas. If we assume massflow and efficiency unchanged it means absorbed power goes up.
Practically if the inlet conditions change, for instance depart from design, then efficiency would also change. And again if this is departing from design then you would expect lower efficiency. So absorbed power would even further increase then.
Change in inlet temperature on a multistage machine -due to volume ratio effect - would also affect the shape of surge line and it also affects which impeller initiates surge for a given rotative speed.
Generally speaking, at constant massflow, head increase gets you closer to surge but volume flow increase gets you farther
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