Doing everything they can to improve the finincial power of the club doesn't mean ripping off fans. It means doing commercial deals that squeeze those companies that wish to be associated with Everton; it means getting non-football stadium driven revenue through the roof.
They might get a few million more from increasing the gate receipts with eyewatering ticket price hikes but it'll come at a cost of alienating fans they rely on to buy stuff in the stadium and merchandise.
In short: it's so short-sighted it's almost comical. They in no way approximate to what you describe them as: "savvy".
Season ticket price increases are only a very small part of overall commercial performance. If it was their sole means of generating extra income then I agree it wouldn't be a sign of savviness but companies looking to maximise income are always going to test a markets ceiling. It's not so long ago that the notion of 2 or 3 new kits every season seemed ridiculous but is now the norm.
Loyalty, especially the football supporter brand loyalty, is very susceptible to exploitation. Initial anger will soon give way to rationalising in order to allow the delusion of being a true supporter kick in.
They know that if it goes badly wrong then all it takes is a few tweets about misjudging a situation and a headpatting apology. Nothing ventured nothing gained.
In fact they can probably take a swing at an outrageous price hike and then
climb down to a smaller price hike knowing that the self aggrandising fan groups will concentrate on proclaiming their ego salving victory in regards to the original proposed ripoff instead of the actual ripoff.