This is about correct - I started loading with the Lee Loader tool in 308 Win - probably did up hundreds of rounds with it before getting real dies and a press. Sooner or later you will likely need to bump back the shoulder and/or squish down the circumference of the case body - or perhaps not. But a Lee Loader tool will do neither for you.
The re-priming thing is spot on - is where I suspect you will need to get creative. If you own more than one - as posted - is possible that the priming base for a 30-30 would work with a 308 Win Lee Loader - I have never tried to do that.
I have no clue if the same powder chart or the same scoop is used or not - since is a different cartridge, Lee might have used / listed different stuff?? I never did that, and no longer have the Lee Manual to look that up.
I found both .307 Win and .308 Win listed in Speer #14 - but do not list same bullets used, past 110 grains. Even with the 30 HP #1835, is different Maximum loads listed.