I wouldn't use the term "tika taka" necessarily to describe the modern Prem, but it is damn close regardless. I'd say a bit more accurate of a description is that it's moved overwhelmingly toward the Dutch "Total Voetbol" philosophy, the better teams in particular. The passing of tika taka is certainly prevalent, but for them possession is defense, while in Total Voetbol with more risk-taking comes the consequential tactics that must be created to counter the inevitable dispossession after the frequency of more elaborate and thereby error-prone attempts.
Wingbacks work in both philosophies nonetheless. The ideal player and example of the position in the Prem is Pablo Zabaleta. I rate Kyle Walker quite highly actually, as he's a less intelligent but more athletic player that is somewhat reminiscent of the City player. I agree that Rose and certainly not Naughton should be our ideal players going forward, and I've no doubt the club plans to address such an issue. But disregarding wingbacks altogether because of the ineptitude of our own is a waste of consideration of good tactics. Once again, balance is the key. In the modern game, the best teams use quicker, smaller players in wide positions to get those players into good positions. This coupled with a balanced midfield of ball-winners and distributors provides for unpredictable and efficient-in-possession conditions to provide plenty of opportunities while preventing opponents from easily countering.
