As ahill mentioned, Vegeta is definitely inferior to Freeza's initial power. ( Before he increased his speed ). Vegeta is sweating like a maniac, clearly in fear and he manages to pull it all together and put his faith in being the legendary Super Saiyan prior to attacking Freeza.
Vegeta vs Freeza Round 2 should look exactly like Vegeta vs Freeza Round 1, except now, he doesn't have any help, hence the " Oh shit I fucked " face from Vegeta.
Freeza increases his speed a little and holy shit Vegeta went from not having much of a chance to completely shit fucked.
Good stuff ahill you are up on a lot of my theories man, good shit meng.
3rd Form Freeza 2,500,000
Vegeta 3,500,000
Freeza ( Initial ) 4,000,000
Freeza ( Actual ) 5,500,000