Games : Do the three slots in the Abbey and Tavern give different amounts of stress relief?

So, when you want to de-stress your characters between dungeons, you can chooose between the Abbey or the Tavern. Both have 3 slots available, which cost 1000 gp, 1250gp, and 1500gp.

I know that sometimes there are reasons you'd choose a higher-cost slot (such as if the lower ones are full, or your character has a quirk preventing their use), but, assuming you haven't purchased building upgrades to upgrade any slot yeah, is there any stress-relief difference between the 1000 gp slot and the 1500 gp slot? Does this change once you get all the slots fully upgraded?

Basically, I'm wondering if (building upgrades aside) I should just always dump my characters into the cheapest stress-relief slots available, even if some characters have more stress than others.