HOT cathode current monitoring - Zenith 25MC30

[cluelessgame]

A few months ago I picked up this little strip chart recorder. It uses a 50uA meter, which by itself isn't very useful for most things I work on, but with proper limiting/shunting it appears to be pretty versatile. I have been wanting to use it to graph the Horizontal Output tube cathode current on several of my sets, but primarily on my Zenith 25MC30, who's current starts out at about 202mA and over time drops to about 190mA. I want to make sure it won't fry the recorder, or alter the set's performance and/or damage it. I've laid out a rough simulation of the shunt circuit I came up in falstad. It works to where If ~212mA is going to the plate (higher than what any of my sets actually operate at) I get ~21.2uA across where my strip chart meter would be (in series with the 100k). The total shunt network resistance is just shy of 10ohms.

Would adding ~10ohms to the cathode of the HOT be detrimental to the TV?