In response to the OP's question, and in an attempt to cut through some of the hysterical nonsense in this thread:
Who keeps the logbooks? Whoever the Owner wishes - can be himself, or someone else, at the Owner's sole discretion.
Moving on - why should anyone pay to fill in logbooks/raise a Maint Programme? Why indeed.... and the LAMP or proposed GMP remains available to Owner to raise his own document as prescribed, and pay nobody anything.
It would not seem unreasonable for a company charged with maintaining records and logbooks and planning maintenance and assessing ADs and Service Bulletins etc to expect to hold the said records, but if you wish to keep your own then of course you can - but in that case it's not reasonable to expect to arrive carrying the records and then expect the organisation to be able to produce a full workscope instantly without doing (sometimes a considerable amount of) research, which is often inconsistent with the Owner's desire to fly away this afternoon.
In my experience, many Owners have neither the necessary knowledge (or more likely, the necessary interest) to produce such a document, and look to an organisation to do this task for them - in which case, why should the organisation not make a charge for this? (the charge being estimated/quoted/agreed beforehand, if the Owner has any sense, as with any other task)
If an organisation quotes one price and tries to hike your charges without good reason, my advice is twofold:
1 Argue until you win the inflated bill issue
2 Do the job yourself in future
After all, if you have the necessary to gain a pilot's licence, you probabaly have the necessary to gain a maintenance licence too, it ain't rocket science..... so perhaps we just think someone should provide a service for nothing?
But if you do decide to raise your own programme and keep your own logbooks and manage your own maintenance (and if you are aware of the Regulations you will know this has been a legal requirement for a good number of years now), don't forget this will also include facing an ACAM audit should your aircraft be selected, and I have seen some people change their view of what the Part M service is worth when they have been asked to demonstrate how they do the necessary tasks....