I hate to say this but the reason your VID is so high is because your 4710HQ is probably not one of Intel's best HQ processors.
At Intel it is all about yield. The more CPUs they sell, the more money they make. Their CPUs are binned based on voltage and various other characteristics. If a CPU can run reliably at 3500 MHz at low voltage, those CPU cores can be sold for more money as higher end models. My 4700MQ probably could have been sold as a 4900MQ. If there was a problem with the cache, it might have been reduced from 8MB to 6MB so it ended up as a 4700MQ instead of a 4900MQ. Sometimes it is just demand that dictates what model a CPU will become. Intel sold way more 4700MQ models compared to the 4900MQ. Even if all 8MB of cache that was originally on my CPU was good, if Intel needs more 4700MQ models, they disable 2MB of cache and away the CPU goes to market.
That is how Intel has always produced CPUs. They play around with the CPU multiplier (MHz) and voltage and amount of cache and number of cores and then they sell as many CPUs as they can. Later in the development cycle, CPUs that need a lot of voltage to be stable are sold. Intel makes sure that their CPUs are 100% stable at their rated speed so no worries there but because your CPU needs lots of voltage for stability, it is naturally going to run hot and there is nothing you can do about that besides sell it.
Your first screenshot shows a VID of 1.1726 and your second screenshot shows a VID of 1.1055. That's a huge difference. From idle to full load the reported VID for my 4700MQ varies from about 1.035 to 1.045.
If you try to correct this problem by using a very high negative offset voltage, you will likely end up with light load BSOD issues because the C States are already designed to drop the the voltage when lightly loaded.
One thing that might work is you could set up a second profile in ThrotleStop with maybe a -150 mV offset. You could set up a keyboard shortcut so you could switch to this lower voltage profile but only after you started gaming. Use the ThrottleStop - Options - HotKeys feature for that purpose. You might be able to get away with that and then before your game ends, set up another HotKey so you can switch back to your normal profile. Beyond that, there is not much you can do. High voltage = high heat, especially when loaded.