Do you think that Lord English would have a better grip, a better control over time manipulation than Dave, Damara or Aradia since the Lord class is usually associated as the strongest class?

Lord English would have a better grip on Time Travel most DEFINITELY, but not because of the reasons you’re thinking! As the Lord of Time, it’s arguable he’d have a much easier time directly influencing the Timeline and hopping back and forth- But here’s the thing. He’s the Lord of Time. The Alpha Timeline bends to his will.

He would’ve not had any issue travelling through Time like everyone else did, because Lord English wouldn’t be able to produce unstable Time Loops. His very existence is a Stable Time Loop, he is the Alpha.

He is already there.