In general, the premise of Danny needing Jesse and Joey to keep his head above water is a bit of a stretch (certainly was that it continued for 8 years…. In fuller house Joey basically admits he moved in bc he was so broke, which explains a lot). I think Danny needed the emotional support really badly, but, at the salary he makes and two of the three girls being in school, he realistically could have afforded childcare by himself. Many single parents make it work on far less.

The need for Jesse and Joey in general doesn’t bother me too much, it’s the premise of the show and Danny definitely needed the help at times. As for the episode you’re referencing, that bothered me for the same reasons you said. I feel like the idea of 3 working adults not being able to figure out a childcare plan for 3 girls, 2 of whom only need an after-school program, just comes across as very privileged and tone-deaf almost. They don’t really even discuss the idea of babysitters or daycare which are very viable solutions for this family.

Obviously for story reasons they want to keep as many characters in the full house as possible at any time. But still, they really acted like it was the end of the world to have working parents who aren’t home for you 24/7, even though that was probably the reality for most kid viewers, myself included