I tested with this code and it seems to behave as advertised:

#declare Rnd=seed(0);
#declare Rnd1=seed(1);

#local i=0;#while(i<10)
         #debug #concat ( "\n Rnd: ", str( rand(Rnd),3,6 ) )
         #debug #concat ( "   Rnd2: ", str( rand(Rnd1),3,6 ) )
#local i=i+1;#end
#debug #concat ( "\n\n"   )

#declare Rnd=seed(0); //reset one of the seeds

#local i=0;#while(i<10)
         #debug #concat ( "\n Rnd: ", str( rand(Rnd),3,6 ) )
         #debug #concat ( "   Rnd2: ", str( rand(Rnd1),3,6 ) )
#local i=i+1;#end

#debug #concat ( "\n\n"   )

#declare Rnd=seed(0);  //reset
#declare Rnd1=seed(1);  //both seeds

#local i=0;#while(i<10)
         #debug #concat ( "\n Rnd: ", str( rand(Rnd),3,6 ) )
#local i=i+1;#end
#debug #concat ( "\n"   )
#local i=0;#while(i<10)
         #debug #concat ( "\n Rnd2: ", str( rand(Rnd1),3,6 ) )
#local i=i+1;#end

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