What I say is to listen to your body. ALL of us need to be performing more physical activity, no matter what our goals. Our bodies are very easily capable of moving everyday without excessive fatigue, as long as the intensity levels are kept in check.
Your body will let you know if you've worked it too hard. At times I've gotten a bit over-enthusiastic and trained intensly three days in arow. The next time I went into the gym, I just gazed at the equipment, and thought "Nope, I just can't do it.", and walked back out.
I'm not recommending working at a high intensity every day, but as I said above, instead of sitting down all day for rest, I'm sure that no one here would be too tired to at least go for a 30 minute walk.
I will note that with my clients who are looking for 'extreme' fat loss (I.e - they want to lose half a stone in 5 weeks etc) then their schedule will be similar to as follows:
Monday: Strength (I.e TBT workout)
Tuesday: Active Recovery (at least 60 minutes of activity - gentle exercise, gardening, shopping etc)
Wednesday: Strength
Thursday: Metabolic Cardio workout
Friday: Strength
Saturday: Active Recovery (at least 60 minutes)
Sunday: Metabolic Cardio workout