I think that last bit is way OTT tbh. Both Lampard and Gerrard were world class, and would have been for England if they weren't shoved together, and we instead built the team around one of them. Neither of them could have ever single-handedly controlled a top international match like Scholes, Alonso, Pirlo could, but either of them could have played a big part in helping the team do it.
Unfortunately, from the ground up for the last 25+ years, the England setup at all levels has not been about dictating matches, but winning them with individual moments and performances.
I'll never really understand why England were so reluctant to play Gerrard outside of CM when his 2 best seasons for Liverpool came from the right wing, and from behind a lone striker in front of 2 deeper CMs