"consistently relied" is correct and usable in written English.
You can use it to refer to something that has been relied upon in a consistent and habitual manner. For example: The company consistently relied on the same supplier for its materials.
He insisted that indictments, to be valid, list all the elements of a crime, and consistently relied on the rule of lenity, which requires criminal statutes to be clear before they are enforced against a defendant.
As a country we have consistently relied on indicators that keep us focused on the interests of business, financial institutions or the defense industry whereas equity, quality of life and even social mobility metrics are played down.
Even if there could be sifted from this record a bona fide assertion of a right to an executive session and a refusal to answer based upon that ground, petitioner consistently relied upon other grounds as well and it would sweep away much established law in this Court to give his claim to an executive session any practical significance.
Retailers and brands have consistently relied on previous years' sales to determine future success of a product.
Studios consistently relied on adaptations and sequels (or pseudo-sequels) and remakes since the beginning of studio filmmaking.
"My department has consistently relied on securing additional funding in monitoring rounds to fund essential roads maintenance and street lighting services," he said.
There are no rules you can consistently rely upon.
But whether Democrats can consistently rely on 60 senators being present is in question.
"As a government, you can't consistently rely on opposition votes to carry you through," says McDonnell.
We have found that these companies consistently rely on five mutually reinforcing elements, whose optimal form and balance depend on a firm's culture, context, and strategy.
If the team can consistently rely on Hughes to pitch into the later innings, the Yankees can proceed with an element they lacked earlier this season.
