General office use and media presentation are actually not very CPU intensive. However, if you are going to use the laptop to create media (as in videos), then that is very CPU intensive.
In the link below to Notebookcheck.net, you can scroll down to the Benchmark - CPU performance section where there are benchmarks for the A10-9600p that you can check out. The X264 HD Benchmark 4.0 is basically the most intensive CPU benchmark because it involves video encoding and it stress all the cores in the CPU. The 2nd video encoding pass is more intensive than the 1st pass so that is why it is being used as a benchmark.
http/www.notebookcheck.net/Bristol-Ridge-in-Review-AMDs-A10-9600P-Against-the-Competition.168477.0.html
The A10-9600P manages 16.34 FPS while the Core i3-6100u manages 15.97 FPS; the more recent Core i3-7100u would score a little higher. Obviously the A10-9600P does better in this very intensive CPU benchmark. However, that is only by 2.3% for a processor that has 4 cores vs. only 2 cores (with Hyper Threading). Additionally, the A10-9600p has a max clockspeed of 3.3GHz vs. the Core i3-6100u with only a 2.3GHz clockspeed. There are other benchmarks to look at though in some cases the A10-9600P does slightly better than the i3-6100u, but in other cases the reverse is true.
AMD APUs tends to use more power than Intel CPUs even though both of these processors are stated to have a 15w TDP by their respective companies. Therefore, laptops with AMD APU tends to have shorter battery life than their Intel counterparts. That may or may not be a concern.
The need for a dedicate graphics chip (GPU) depends on exactly what you are going to do with the laptop. If it is just fore mere office work with some video presentation / power point presentation for clients / management, then a dedicated GPU is not going to be much of a benefit since integrated graphics can easily do that. If you want to play games when not in the office or during down time during business trips, then yes, a dedicated GPU does make sense.
I generally tend to lean towards laptops using Intel CPUs rather than AMD APU, unless you get an obvious advantage with an AMD APU. In this case, unless you want to play games, then go with a laptop with an Intel CPU. If you do want to play games, then definitely choose a laptop with the AMD A10-9600p APU with a dedicated GPU, because the Intel HD 520 integrated graphics core is a little more powerful than the AMD Radeon R5 (Carrizo) integrated graphics core.