I have been away.
"Is there any reason the relay/lvd couldn't be wired in series with the inverter's switch?"
I will take that as a typo, and you mean the main power wires feeding the inverter...
Problem-
Input capacitors.
They cause the sparks when the power cable is connected to the battery.
That's a lot of amps.
Controlling amps is Expensive.
Example-
A small 400W inverter. Probably has an 800W surge.
800W / 12V, throw in inefficiencies, with a load that is connected, and empty input caps...
That puts the INVERTER'S surge current up past 100A easy enough, and fairly sustained (as far as semiconductors go).
That's expensive.
And semiconductor have losses, which add to inefficiency.
Next question will probably be about relays.
It would need a pretty serious relay.
Serious relays use serious amps in the coils. Which would be a good idea to do away with.
If it was not a typo, and the toggle switch is in series with the relay coil, then no problem at all.
I may have posted this for "Snake" a while ago.