Bob,
I just looked at the manual on the Apollo 1/2 time oven and it states it uses 16-17 amps. So multipying by the voltage (V x A= W) it uses 1920 - 2040 watts. I looked at the specs for the generator from the Honda site and the run rate is 1600W 13.3 amp and peak 2000W. I think you would probably damage the oven using this gen but I'm not an expert.
<TABLE id=ctl00_ctl00_rootBodyContent_bodyContent_ucModelDetail_Tabs_tabSpecs_gvwSpecs style="BORDER-COLLAPSE: collapse" cellSpacing=0 cellPadding=4 border=0><TBODY><TR style="FONT-WEIGHT: bold; BACKGROUND-COLOR: white" align=left><TH scope=col>EU2000i</TH><TH scope=col>Specifications</TH></TR><TR style="BACKGROUND-COLOR: #eaeaea"><TD>Engine </TD><TD>Honda GX100 javascript:__doPostBack('ctl00$ctl0...il$Tabs$tabSpecs$gvwSpecs$ctl02$lbtnSpec','')</TD></TR><TR style="BACKGROUND-COLOR: white"><TD>Displacement </TD><TD>98.5cc javascript:__doPostBack('ctl00$ctl0...il$Tabs$tabSpecs$gvwSpecs$ctl03$lbtnSpec','')</TD></TR><TR style="BACKGROUND-COLOR: #eaeaea"><TD>AC Output </TD><TD>120V 2000W max. (16.7A) 1600W rated (13.3A) javascript:__doPostBack('ctl00$ctl0...il$Tabs$tabSpecs$gvwSpecs$ctl04$lbtnSpec','')</TD></TR><TR style="BACKGROUND-COLOR: white"><TD>Receptacles </TD><TD>20A 125V Duplex </TD></TR></TBODY></TABLE>