Suzanne, measuring body composition is tricky and there is no perfect approach. Dexa and hydrostatic weighing are generally considered the most accurate but they still have limitations unable to sort out the contents of your digestive system from what is muscle and fat. Changes in hydration, muscle glycogen and bladder fullness can all impact results. Hydrostatic weighing doesn’t sort out any tissues at all so tissues other than muscle and fat, for example skeletal mass, can impact results. Bod pod is close to hydrostatic weighing in accuracy but not identical and here’s a paper suggesting it tends to report men as leaner than hydrostatic weighing and women as fatter…
https://academic.oup.com/ajcn/article/69/5/898/4714838
And here’s a comparison between bod pod and DEXA that showed significant variation especially for lean individuals.
http://www.dishlab.org/pubs/LowryTomiyamaBodPod.pdf
My opinion is that for tracking progress consistency is key. Regardless of method you want to be using the same equipment with the same operators in the same state of hydration/fed/exercised. And it’s impossible to sort and control all the factors so some amount of guesstimation in interpreting the results will always be needed. Use of one or more highly accessible methods: such as photos, tape measure, and skin fold calipers in combination with less frequent tests by one of the premium methods is going to give the best feedback.
As far as approaches to optimizing results that is an infinitely complex subject. In this forum for the ketogenic diet we focus mainly on diet and all the variations of macros, timing, fasting, etc. but other factors from approaches to exercise, stress management, sleep, relationships, environment, etc. all play a role. My biggest problematic factor for the past 3 months has been repeated low level sicknesses from being around and overly exposed to way too many sick people. Although I’ve not gotten significantly sick this winter now that I’m tracking many things closely, I see the impacts from every cold that I barely catch. And we all have quite a load of pathogens and parasites. Have you heard of HCMV an infectious incurable disease most people have that while typically benign sometimes gets nasty? Not suggesting this is your issue, just that we are all undoubtedly coping with a wide variety of things to which we are oblivious. It’s not possible to separate fitness issues from health issues so it is worth considering if other factors are complicating your efforts to optimize diet and exercise.