How would your team motivate that it should keep its headcount during a budget cut? Without deadlines they could just say "Since nothing you do is urgent we will cut your headcount in half, other teams needs it more".
Urgency doesn't imply value. Time horizons can vary and while there tends to be a correlation of cost and time horizons (higher urgency - higher costs, lower urgency - lower costs) that doesn't mean one is more or less valuable, it just costs more.
ER doctors may provide urgent surgery or medical intervention that's life saving and usually that costs a lot more than say long term chemotherapy or say HIV management with a specialist. Both are life saving, it just turns out that one conveniently has a longer time horizon which makes it easier to juggle to reduce costs while the other requires full attention and makes it difficult to juggle clients.
You would hope management doing budget cuts would adjust budget cuts based on value provided. This is arguably difficult to quantify in many cases but it shouldn't be quantified by how many, likely artificial, deadlines a group has and how busy they look. That's just silly.
ER doctors may provide urgent surgery or medical intervention that's life saving and usually that costs a lot more than say long term chemotherapy or say HIV management with a specialist. Both are life saving, it just turns out that one conveniently has a longer time horizon which makes it easier to juggle to reduce costs while the other requires full attention and makes it difficult to juggle clients.
You would hope management doing budget cuts would adjust budget cuts based on value provided. This is arguably difficult to quantify in many cases but it shouldn't be quantified by how many, likely artificial, deadlines a group has and how busy they look. That's just silly.