Recomping does happen, especially in cases where muscle memory is a factor.
BUT be aware of the limitations of using strength as a proxy for muscle mass... It can increase without muscle mass increasing especially if you have been focusing on lower rep heavy lifting - neural factors can still improve during a harsh diet.
Sounds like you can keep doing what you are doing. There isn't a reason why you have to add cardio if you don't want to - it's not an essential part of losing fat but it can help you burn a few more calories while having wider health benefits.
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