Not at all. Perhaps the opposite even.
My aircraft will not suddenly become unairworthy when it's C of A becomes non-expiring and it is fully under EASA.
If I was able to ensure the continued airworthiness for the past (can't remember but a lot) years what in terms of information available etc has changed to make it harder for me to complete what is my responsibility, has been my responsibility and will in the future (regardless if I pay someone else or not) continue to be my responsibility.
These days, obtaining information is far easier than in the past and pre-internet times.
Perhaps owner's in the UK did not fulfill their responsibilities in the past and simply expected (relied on) the maintenance organisation to do everything.
However, for the owner that can check the required info and make a contract with a maintenance organisation there is no need to pay either that organisation or a third organisation to do it for them.