The Norman Yoke as a whole seems to be a pretty popular on this site as a way of looking at English History before the hundreds year war, and while at least a bit of it is valid it can get a bit overwrought at times. No I am not going to deny that William the Conqueror was a brutal asshole, and did a whole lot of shit that fucked over England in the long run(Though TBH my only regret is that he didn't annex the place into France), the idea of England being ruled over by a bunch of French Noblemen from their estates on the continent who couldn't speak a lick of English for the better part of the Middle Ages isn't actually all that true(Once heard somebody describe it as colonisation.....). While the Kings of the house of Normandy and the first two Plantagenets fit this stereotype well(Though by Henry I, the King was King of England first and duke of Normandy second), all the kings after don't really.
Richard the Lionheart the last king to actually spend all his time in his continental possessions knew at least enough English to compose poetry in the language(To me anyway its sounds fishy he would bother writing a poem in a language he couldn't even speak but hey what do I know), his brother John was the first Plantagent King that we can confirm spoke English(IIRC one of the complaints John brought against his brothers chancellor William Longchamp was that he couldn't speak English), and after him the Plantagenets spent like their entire reigns in England proper.
Edward I only visited Gascony the last English possession in France like once or twice throughout his entire reign with him spending the vast majority of his reign focused on British affairs. He also tried to garner support for his war against King Phillip IV of France by arguing to Parliament that it would harm the English language, Now while this didn't actually work that well. It is important because it proves that not only were members of Parliament an extremely privileged class expected to know how to speak English, but the King himself thought(Wrongly or not) that people cared enough about it to support a war against the Kingdom for the sake of it. This argument was also brought up again in the Hundred Year's war during the reign of his grandson Edward III so clearly Edward himself wasn't a one off.
While yes the Kings of England did usually speak French as a first language(The French were still considered foreigners though, even those from Gascony. In contrast according to sources by the 12th century the Norman settlers and Anglo Saxons had become basically indistingushable ) during this period, they were most often born in England, lived their and ruled over their possessions in France and Ireland from English Soil. If this was colonisation then the Normans clearly weren't very good at it.