Yes, Meta Cooler is much stronger than Cooler. Cooler in his 5th form was defeated by SSJ Goku; however, Meta Cooler was defeated only by SSJ Goku and SSJ Vegeta at full power.
No Cooler and goku was never matched when goku in his ssj1 but frieza and goku on his ssj1 was matched frieza was only defeated because his body cannot hold up the staggering power of his full power...
Yes because Frieza used his Full Power against goku thats why theyre actualy matched but cooler was easily defeated and he used already his full power on the normal state goku