Glad I could help and it was my pleasure. Do you want a job?

I fix hundreds of tubs up here in the northeast that freeze so I know where most of them blow out.
Most tubs don't even have insulation so the amount that you took out is not needed for structural support in your Siberian. Your idea should work fine and will be much cheaper. Just make sure it is sealed off well from rodents and I usually spray for ants a few times a year just to make sure they don't nest in the foam.
Nice work on the repair!