There's no doubt about it, gaining weight is much easier than losing it. I know from personal experience that I can gain 2kg in <48 hrs but that it will take me nearly a week or more to lose it again. And I have excellent insulin sensitivity: HOMA-IR = 0.8. For others with inflammatory hysteresis, which effectively means elevated HOMA-IR, the weight loss journey is all the more difficult, if not impossible after a certain point. Over nearly 2 years of client data collection, that point seems to coincide with a waist/ height ratio of 0.50-0.52. By comparison, mine currently stands at 0.45.
It took me a long time to break 0.50. In fact, at one point I thought I was permanently stuck at 0.52. Note that at that time, back in 2014/15, I did not have access to fasting insulin blood tests and neither was I aware of the significance of HOMA-IR, and so it's impossible to say whether I was insulin resistant or not. What I do know is that breaking that 0.50 barrier was achieved though dietary change, reducing inflammation through strict adherence to a ZERO CARB lifestyle. It had nothing to do with exercise at all.
If you have also tried this and you still have elevated HOMA-IR, there may not be much else you can do, given that you are also strength training on a regular basis. I remain unconvinced that more training OF ANY KIND is the answer. In fact, it may well be counterproductive. The final course of action may be through drug therapy i.e. metformin, and if this doesn't work, you may have to face the fact that your IH will be lifelong. In that case, all you can do is manage your condition as best you can through strict diet, stress avoidance, good sleep hygiene & rest, as well as regular strength training.