No, I don't think so. Though a few years ago (like circa 2018, I believe), it did seem like de Gea was on course to match Schmeichel (and by extension, van der Sar) as a United great. There was a semi-general agreement that while the former two were more complete and better organizers, widely considered as Top 10 goalkeepers of all time (for what they achieved with Denmark, Ajax, and the Netherlands in addition to their United stints), and had won more silverware with the club, David was doing indescribable things as a backs-to-the-wall wizard for substantially weaker teams (one of the few silver linings in a dark period for United) — which gave him a certain charm. But his performance levels started deteriorating around the 2018 World Cup, he started making atypical errors (while looking unsure of himself), concerns around his absurd wages became more pronounced, and his flaws became more widely acknowledged and “unforgivable” (especially in contrast with Alisson at Liverpool and Ederson at City, who ushered in a new style and standard at contemporary Premier League level).
All of that has taken an almighty toll on his standing (and no doubt eroded some of the credit he had built up), relative to the Big 2 (who have fairly pristine United legacies as they did not suffer from similar issues over several seasons). Schmeichel arrived as the best goalkeeper in the world according to UEFA and IFFFS, was pretty much one of the absolute best goalkeepers in the world throughout his stint, genuinely scared oppositions with his titanic presence, and left as a Treble winner; while van der Sar stabilized the defense (which became the best in the world and the best in club history), gave Čech (who was getting too comfortable at the top) a kick up the butt, was an integral component of teams that won 4 league titles and reached 3 Champions League finals in just 6 seasons, and retired before his performances suffered a cataclysmic collapse.
Now de Gea being consigned to a lower ranking (for United, and in general) is a foregone conclusion, and his legacy is fairly checkered (for United, and in a wider sense — as Courtois and Alisson will be rated as the greatest goalkeepers of this era after Neuer). Understandable, but also a bit unfortunate as he gave his best years to the club, and was genuinely one of the very best in the world for a period of time. Poor guy got the short end of the stick for club and country alike (who failed to live up to the expectations as a collective); in some ways he contributed to the problems with his reactive approach to goalkeeping, but you could credibly argue that deserved better when he was at the peak of his powers as an All-Time great shot stopper.