Pairing HR chest monitor/sensor to iPhone AND Apple Watch at same time (?)

Hi, I have a question. Since we all know that the Apple Watch gives pretty inaccurate HR monitors when doing weight lifting/pulls-ups...etc; I have decided to buy a Bluetooth Heart-rate Monitor/Sensor (chest strap) and happy to report it works with the Apple Watch, where I can see continuous & accurate readings now, to either the Apple Watch, or my iPhone. But I did notice that I CANNOT get continuous HR reading on BOTH the iPhone AND Apple Watch at the SAME time. Anybody was able to make this work (both at SAME time)??? If so, which Bluetooth HR Monitor are you using and how?? I like using my Apple Watch for continuous HR since it's right there on my wrist, i can easily see it right away when i want to... but I also like the iPhone App(s) to be able to track my HR monitor/zones (FatBurn, Aerobic, Anaerobic, VO2 max, etc), Live.....

Also question #2, If there is NO way to be able to give out continuous HR reading on BOTH the iPhone AND Apple Watch at the same time (since both use Bluetooth frequency and Bluetooth can only opearte on one at a time, or something along those lines), then is there any way to MANUALLY input the summary data (like Active Calories Burnt) then into the Activity App??