Engage characters, like Fateswakening characters, are just random anime tropes with no thought put into them.
People say 3H has better writing because it cast a wide net and every character is a lot of things with most of those things linking back to the worldbuilding of Fodlan.

You take Chloe and she has two personality traits:
>She eats weird food
>She likes fairy tales
Why is she like this? Because those are the tropes they wanted to do.

Then you compare her to 3H's version of dude food lmao pegasus knight and Ingrid:
>Likes fairy tales
>Likes food
>Wants to be a knight
>Doesn't want to get married
>Is racist
>Is homophobic

And then the game actually uses the worldbuilding to explain why she turned out the way she did. She comes from Faerghus. Faerghus is a snowy wasteland where life is hard and the countrysides are dangerous, making them value military culture. This in turn places chivalry and knights on a high pedestal. Ingrid, having grown up in this environment, now idolises knights and chivalry. Ingrid therefore wants to be a knight, but there is a problem with this because her region of Faerghus is also one of the most impoverished to where they experience harsh famines even compared to the rest of the country. This makes big banquets and fancy food a luxury, which is why she's fixated on food. But more importantly, it means she's a bargaining chip in a political marriage to less impoverished regions to get more resources. But Ingrid doesn't want to be a housewife because then she can't be a knight. Despite this Ingrid was in love with the original person she was matched with, who was killed in a terrorist attack by the Duscans. This makes Ingrid highly xenophobic against Duscans. The homophobia is just because she's based.

Ingrid is probably one of the least interesting 3H characters and she's got more nuance than any character on Engage. This is what people mean when they say Engage has shittier writing.