The short answer is basically correct.
But with the right knowledge and hacking about you could use the battery in an Insight.
It would not be an easy swap. Some issues I can think of are.
1) Temp sensors Insight has four Civic has three
2) G1 Switch board won't fit on the civic battery
3) Battery won't fit in OEM space in insight or bolt down correctly or have cooling in right place.
4) etc etc Loads more issues and gotcha's
If you had a known good civic battery you could take all the sticks out of that and put them in the insight case as has been pointed out. That's the easiest option to utilise a good civic HCH1 battery.
OBDIIC&C $50 inc software and blank pcb.
IMAC&C HCH1 Civic $50 inc software and blank pcb.
IMAC&C G1 Insight $105 inc software and blank pcb.