The name is a bit twee, isn't it? And, as you say, going out when you already feel tired won't be very fun, especially if you are worrying about the costs too.
Having said that, I do think there can be value in making a point of doing stuff together when you have got into a rut and aren't feeling that close.
My situation is a bit different, as DP and I actually broke up for a few months, and though we are back together are now living separately - but I/we have been trying to ensure the time we spend together now involves more opportunities for genuine connection. (This is probably more driven by me in terms of organisation, though he does seem on board). But we don't have loads of money to spend on going out, and don't enjoy it that much.
So it has more involved stuff like picking a series or a film to watch together, and making a point of focusing on it rather than one or both of us being on our phones. Or taking the dog for a walk together and talking while we do so; or going shopping on a weekend afternoon to a town we don't usually go to, and having a little look around while we do so. It's working well for us and has definitely boosted our connection - I feel more deeply towards him than I used to, less irritated by him - and our sex life feels better too - we always had a lot of technically good sex, but I feel a lot more closeness, tenderness and connection now than i used to.
We have also been to a sporting event and to the theatre, but that was driven by actually wanting to go to see that particular thing, more than forcing ourselves to do it for the sake of the "date".
I think looking for opportunities for togetherness in every day life is the way forward, and much more sustainable. Good luck - I hope it works out for you!