When a law enforcement agency obtains a warrant in either the UK or the US and submits it to an organization for them to do data searches and similar forensics, that organization is fully entitled under the law of both nations to charge a fee for all work and expenses incurred in complying with the search warrant. Such fees are routinely charged daily according to a set schedule. Some are capped as a courtesy to local police departments or the Constabulary. A policeman cannot just show up, present a search warrant that is going to cost an organization hundreds of thousands of dollars to investigate a third party (device owner or services client) on behalf of the police and expect the company to bear the full costs. That's not how it works. That's not how it ever worked. Search warrant incurred expenses also include officer wages, court filing fees, as well as the costs of the associated legal proceedings and challenges.
Google does not assist UK or US law enforcement for free. And neither does Apple nor any of the mobile carriers. Banks in both the UK and US routinely submit bills to the governments for incurred compliance costs. An organization can even file a civil suit against a law enforcement agency or administrative body if either refuse to pay the submitted bill.
A search warrant is just a legal instrument. Companies routinely ignore search warrants. Here in the UK and US, people waiving a court order cannot compel others to do anything. A judge can hold a company in contempt for non-compliance but it is unusual for the judge to go beyond that. That is the whole central point of this new bill. It is being done such that companies cannot refuse. Apple refused to assist the FBI in the past when the FBI presented it with multiple search warrants. Under the new law Apple would have to agree to compliance before a search warrant was ever issued. Microsoft has been held in contempt many times for refusing to comply with search warrants.
US intelligence agencies do not pursue damage cases involving $5000. That is the realm of local authorities and the local small claims court system. The only exception would be cases involving federal law, such as bank robbery. Same here in the UK.