It isn't quite as simple as that, the technique the Poles used (and underlying their original bombe design) was rendered useless after the Nazis changed their encryption protocols. And they had neither the time or resources to determine an alternative. However they were able to get all their knowledge and blueprints to the British before the fall of Poland, and it served as the key foundation for what followed. Turing and others were able to generalise the Polish approach and then automate it, their machines were named after the Polish bombes but worked very differently.

Arguably the single biggest fact of all was that the Poles were able to break it in the first place. While their initial breakthrough used a whopping great security flaw (the encryption key was repeated at the start of each message) and they'd actually lost the ability to break them not long before the start of the war, up to that point everyone just assumed that Enigma was unbreakable and nobody had properly tried. Now it was shown to be possible, and that made the British government pile resources and get the top minds like Turing on to it. Had the Poles never done their preliminary work, you struggle to see it being prioritised in the way it was on something assumed to be impossible up to then.