Here is the same tool and the die settings for "Starter Lugs". If you remembered that 2 GA wire with a Heavy Duty lug took "H" & "H"/pink you'll see here that a 1/0 wire takes "H" & "H"/pink when using Flared Starter Lugs.
That is a two whole die size difference due to the quality and raw thickness of the lug. Same wire 1/0 vs. 1/0 but two whole die settings apart. Be VERY careful to NOT confuse flared starter lugs with true heavy duty lugs.
Once again true "Heavy Duty" lugs will be both color coded and die stamped. Starter lugs are flared at the end and simply marked with the wire gauge.
I personally try and avoid starter lugs when I can but there are some applications where their smaller form factor is a better fit, so you can't rule them out entirely.