Did the writers know what to do with Eddie and Greta?

[Kittykittykittycats]

They met in mid season 6. He was CLEARLY mad about her from the start, and so was she. Then part way through season 7, they’re official. But there were several instances in late s6 and beyond where Eddie was flirting with other women. Laura’s classmates coming to Myra’s surprise party, the chick in the apartment above Eddie and Waldo (Home Sweet Home), the park ranger in Little Big Guy, mentioning all the hot babes at the fraternity party in Tips for a Better Life (but that could’ve just been casual conversation), the chick at the bar in Scammed, the girl in Paris that made him cause a huge accident, and then the older woman in the episode in late season 8 that only wanted to fool around—but that was because Greta broke up with Eddie temporarily. I also feel like this was also one of the reasons why Eddie wanted to win so badly on What Do You Know. She deserved better.

[JO Sweet Heart]

What got on my nerves about Greta was when she never gave Eddie a chance to reject Myrtle. Eddie should've always been the first one to say, "Get lost!", but if Greta was in the picture, she always had to be first one to respond.

God bless you always!!!

Holly

[hch]

You completely nailed the fundamental issue: the Family Matters writers absolutely struggled with narrative continuity, and Eddie and Greta’s relationship was one of the biggest casualties of that "wonky" late-series writing.
From a modern binging perspective, Eddie’s behavior looks terrible, but examining the writers' room of a 90s laugh-track sitcom reveals exactly why they kept dropping the ball on them.

1. Syndrome of the "Reset Button"
In the 1990s, sitcoms were written for weekly broadcast syndication, not binge-watching. Writers relied heavily on the "status quo reset." Every week, Eddie needed a plotline, and "Eddie acts like a goofy, girl-crazy knucklehead" was an easy, reliable engine for an episode's B-plot. The writers treated Eddie and Greta’s relationship as a "floating" commitment—serious when the episode required romance, but non-existent when they needed Eddie to get scammed by an older woman or crash a car in Paris over a girl.

2. Copied Tropes from the Urkel-Laura Dynamic
The main romantic engine of the show was the "will-they-won't-they" chase between Steve and Laura. Instead of writing Eddie as a mature young adult in a committed relationship, the writers lazily recycled the chasing dynamic. They deliberately gave Eddie a "wandering eye" to keep viewers guessing if he and Greta would actually stay together in the end.

3. Greta Suffered for Eddie’s "Lessons"
You are completely right—Greta (Tammy Townsend) deserved much better. The writers used her as a prop to teach Eddie how to grow up. For example, in the Season 7 episode "Getting Buff," Greta literally gets disowned and cut off financially by her father just to keep dating Eddie. Yet, Eddie's immediate reaction is to scream at her for taking a nude modeling job to pay for the textbooks she needs because of him.

4. The What Do You Know Irony
Your point about the game show "What Do You Know" is spot on. Eddie desperately wanted to win to prove his worth, yet his behavior throughout Seasons 6 and 7 proved he didn’t value the immense sacrifices Greta was making for him. The writers wanted the payoff of a sweet, committed relationship without putting in the weekly work to show Eddie acting like a faithful boyfriend.
Ultimately, the writers didn't know how to write a healthy, stable young-adult relationship without leaning on cheap flirtation jokes. Had the canceled Season 10 happened, the plan was to finally marry them off and move them to New York—but Greta definitely had to endure way too many of Eddie's "goofy" slip-ups to get there.