groundbased you will find that private pilots will not be offered life insurance.
I can assure you this most certainly isn't the case in the UK. Some policies may exclude it by default so if you have a policy and didn't disclose that you're a pilot it's certainly worth checking.
However dependant on the type of flying you do and that it's openly declared during application, a lot will not specify it as an exclusion.
I have recently taken out a policy via Stein Pilot Insurance who are a broker specialising in (surprisingly) insurance for pilots. As a basic PPL I fly around 50 hours per year, and this was accepted by a main stream insurer without any increase to the premiums.