I do heat a static with a oil boiler, but that doesn't mean I know what I'm talking about......
With the indirect tank, the coils heat the water in the tank, but the water going through the coils is much hotter than the water in the tank gets. So it's quite good at heating the tank water, providing your not trying to get it over 60c or so. Working it the other way, there isn't a great heat transfer from the hot water into the coils.
I think, that with the amount of water you will need to pump around the rads, through the coils to pick up the heat, that it will not have enough time to dwell in the coils, and get hot enough. If you slow the water down, the rads will take an age to get hot.
That may not matter, if it is left on semi permanently, they will get hot eventually, but you'll not be looking at quick heat, and it'll be costing a tump in electric.
Add to this the fact that even a well insulated static holds heat like a plastic bag in a fridge.
I might be wrong, but thats what I think.
You may get a better heat transfer using a FPHE between rads and tank, like the setup on a combi boiler, but both sides of the FPHE will have to be pumped. ( found this out from a project).
I have a Propane water heater. It would take an age to fill a bath, but it runs the shower just great. Has been for over three years now.