Well let see if I understand this right.
A LP is designed to help remove harmonics right?
Yes, BUT the radio should have a low-pass filtering circuit built in. Maybe it does (or did) until some chucklehead produced his Golden Screwdriver to make the radio "talk" "better" (read: to see the meters go higher).
Is it not right that harmonics can trick a meter in thinking that it may have a high SWR or putting out more power than it actually is?
Not quite right. If the radio is spewing "harmonics", IMD and other garbage, the meter can and will show it. It's not being "fooled" at all.
I have two radio's here right now (both same power output of 125 watts), that when not using the LP my SWR is high and of course the reflect is too, but, by putting the LP on the radio the SWR is down to 1:1 and of course almost zero reflect.
Then I would offer that those two radios have serious internal problems which you could see with a spectrum analyzer. You probably could detect the off-frequency junk with a communications receiver, but the Spec-An would allow you to quantify it.
Just as a note, you don't need to specify that your "reflect" is high. An upscale SWR reading for a typical SWR meter is a result of reflected power at the feedline/antenna connection. If you have a higher-than-normal SWR, that implies you also have higher-than-normal reflected power.
None of the other 3 radio's show this problem and they are all the same model - 2970dx
Also - 259b shows the feedline to be just fine.
Probably need to send the radio to DTB Radio, here on the forum and let him do his tune on it.