I agree that this film handled Hulk's character really badly. For one, the first impression we have of his new persona felt comical in the way that you would usually find in an alternate timeline version of character imo - it seemed so unserious that it didn't really feel real to me, and not fitting for the primary/permanent version of the character.
And it's absolutely true that he didn't really have a standout dramatic moment in the film. That they used him to bring back the people that Thanos turned to dust doesn't really count imo - the scene wasn't made to feel very dramatic (compare it for example to when Iron Man uses the IG to destroy Thanos and the rest of his army), and it wasn't really about the Hulk either except in a technical sense (that he was perhaps the only one that could survive doing it).
Infinity War actually did something interesting with the character, but by raising questions about why Hulk was refusing to come out, and highlighting what was missing by his absence and creating the expectation that when he finally returned it would be something pivotal (in a Hulk Smash kind of way). EG essentially ignored the character's most pressing conflict, and instead resolved a more remote (not to say that it wasn't more fundamental) one.