+xI've noticed new startup insurer kinsu.co.uk don't even ask so should be OK to use for home insurance
Unfortunately yet another example of an online insurer not being explicit with their T&C's. You are right that they do not bother asking the question when you complete the online quote form. However, if you read their conditions, you will see that they do not cover convictions (see below)
You have never been convicted, cautioned or charged (but not yet tried) for any offence other than motoring.
Given their sales pitch is about being straightforward and using every day language, this is pretty poor as it makes no differentiation between spent and unspent etc.