Battle Tower is the standard Tower/Subway/Maison place.

Battle Palace gives control of your Pokemon to the AI and decisions are weighted by nature. Pokemon will avoid harming opponents that are barely standing because they'd prefer to raise their own stats, or do nothing because they dislike their options.

Battle Factory is just "here's the awful Pokemon you always laugh at, good luck with them!" and is hugely luck-based as a result.

Battle Pyramid is "here's dozens of wild Pokemon that like to spam status, good luck wandering large dark rooms full of trainers!".

Battle Pike is the Pyramid without the large dark rooms and more RNG.

Battle Dome is a standard tournament ladder situation, but with less Pokemon than you normally would use.

Battle Arena is just a more restrictive battle where you need the right team order or you're screwed.

Tl;dr Battle Frontier was never good and TMs, tutors, and items no longer being locked behind this shit is ultimately a good thing.

The only passable facility was the Tower, which existed before the Frontier and is functionally identical to the Maison and the Tree.