Will connecting a NEMA 14-50 to a IEC 60320-C13 in this manner present issues
Looks OK.
It only uses 10A at 220V except on startup  maybe 50A, so I would make a cheater cord with an IEC type receptacle to plug in cord hard wired rather than Nema receptacle use just the 240V plug but wired as you have shown. L1&amp;L2 may he swapped and Neutral is not required.  I presume you had a 240 V outlet for dryer or otherwise wire as you have shown from a dual breaker.