Effects of rapidly pulsing DC inductive load on solid state relays
1. The first question is simple-- would an inductive DC load have any issues running through an SSR?


  Main issue is you didn't specify what you mean by "high"   
  
  
  DC SSR's can be expensive for  high voltage if you mean 1kV   
  



If an SSR is rated to operate a load between certain voltages (5-220VDC in this case), when the circuit modulates between 0 and n volts, would the SSR effectively turn off and on even though the control circuit has never turned off, and on even though the control circuit has never turned off, thus introducing a delay in each signal modulation?



  No   
  
  
  DC SSR's are MOSFETs so if Opto input is active, output RdsOn is low as long as within normal voltage and current limits.
  unlike  AC SSR's which use Triacs
  



Would an SSR having an inductive DC load modulating at a frequency like this cause any problems, particularly a delay or distortion in signaling?



  Possibly, if something was overlooked. You really need to specify full details. Schematic, test results etc. Specs..


DC SSR's >=230V