The lack of any real time pressure currently is what gets me most. Once I realised resting had no impact on the progress of the groups' ceramorphosis or the Druids' eternal chanting, the story lost all sense of urgency and a lot of its credibility. I can only imagine this is done purposefully for data gathering reasons. What I am hoping is that these quests with implied time pressures actually make themselves felt so that taking a long rest is a much more meaningful choice. To really make this work, the short rest system needs to be expanded. More short rests per long rest, the inclusion of hit dice and the removal of health gain from food items, allowing group interactions and story beats that currently only take place for long rests to happen during short rests where appropriate. It's about managing resources to allow you to reach your desired outcome. Right now you have nothing to manage, nothing to loose from having a good sleep, fighting some spiders for 20 minutes then popping back off to bed.
No. Time limit is a very bad idea. I was never fan of it. If necessary only in the hardest difficulty setting.
It's a game, I don't want to be stressed by deadlines.