The main reason to NOT go cold turkey on your training is that when you start back up you will have to endure the pain and soreness associated with starting a strength program. DOMS (delayed onset muscle soreness) is just no fun and will impede your return to training when you do start up in earnest. Luckily you can minimize DOMS if you just drop into a 1x/week to 10 days maintenance program. You can take your max strength plan and cut the sets and reps in 1/2. You may be doing only 2-3 reps and 2 sets of 3-4 lifts so not a lot of time in the gym. Surprisingly this can maintain most of your strength for a couple of months and will help make starting the transition phase again easier. However if the DOMS issue is not a deterrent then sure take a break. The gains you made in the first cycle will come back much faster the subsequent training cycles.
The same hold for the aerobic training (minus the DOMS).