It's a nice idea, and one that was considered for V6 at launch, but overall the need just isn't very high. Also the performance impact of spawning a stove is very small.
For this to be worth it we'd need to make jail time longer. 10 minutes just isn't long enough to have time to do community service and then also get a sentance reduction.
Generally speaking you should pick up your props, and if you really can't staff are there as a final line of help. Having all your props sent to storage isn't supposed to be the norm.