The phrase "almost always grants" is correct and usable in written English.
You can use it when discussing a situation or condition that typically results in a certain outcome, but with some exceptions.
Example: "The new policy almost always grants employees the flexibility they need to balance work and personal life."
Alternatives: "generally provides" or "typically offers".
Former judges and prosecutors tend to agree that the court system here has almost always granted extradition requests from the United States.
For now, foreigners who wish to buy tracts of rural land bigger than 90 hectares (222 acres), depending on local rules, have to receive approval from local authorities, but approval is almost always granted.
Cities and towns eager to capture a professional sports team almost always grant generous terms, but most economists contend that the sports deals generally provide a meager return for such a large subsidy from taxpayers in a project that will have limited use.
His consideration has endeared him so much to the music community that the artists not only almost always grant permission, they occasionally even help him record his songs.
In our geographical area (Ontario, Canada), in contrast to other jurisdictions, for example, Nova Scotia, Canada [ 18] and the United States [ 19], the approval for provincial coverage for reduction mammoplasty is almost always granted if the patient has a bra cup size of D or larger and is experiencing physical symptoms.
A principal must get approval for a long suspension (it is almost always granted), parents can appeal against the suspension (which is almost never successful).
Since then, he has been touring non-stop, sometimes with a company of up to 30 wayward performers, and almost always without grant or subsidy: "The Arts Council wouldn't touch us after Flowers".
In the 1990s these were almost always "plain vanilla", granted at the current share price, with a vesting period of three years and without any performance hurdles.
