That feels right. And it's good news too. I think I need to make some kind of similar change and for similar reasons and I'd really not like to eat and much meat as it takes to maintain ketosis. But there are a lot of ways to be blood-sugar-aware...
Look into the 'Slow Carb' diet - in simple terms you cut out sugar/processed carbs and replace bread/pasta/potato/rice with beans and extra veg.
Then one day a week you eat what you want. I personally find it far easier to follow than Keto - and while the affects aren't as extreme, when I was being strict with it, I was at my leanest and healthiest I've ever been.
They cause an insulin spike so yes - but you can bend the rules however you want. For me just doing something where I stop myself gorging on sweets/chocolate is half the battle. Anything that spikes my insulin makes me crave sweet foods.
I've not tried either but I've heard the same result attributed to making both changes (hard to know because they tend to coincide).