Interesting theory but I don't think it stacks up. For one thing I can't see Swansea having sustained that style throughout Rodgers' time in charge if it was that independent of his own efforts. For another I don't think we have abandoned it per se this season - we've failed to sustain it consistently for 90 minutes, but that's a somewhat different matter.
Nor, I'm afraid, do I think the Everton/Martinez comparison is that relevant. One could make the same point about Stoke under Hughes. By and large, footballers prefer playing football to implementing hoofball and breathe a sigh of relief when they change from the latter to the former. We saw the converse under GH when he lost his nerve and reverted to his previous crabwise style, despite the fact that we were 7 points in front of the rest at the time - the squad wilted before our eyes and we went on our worst run for half a century. It looks to me as though our current squad enjoys Rodgers' approach. It's new to quite a few of them and there's definitely work to be done, but I think we're on the right track and I reckon Rodgers deserves credit for that.