Israel's policy has been gradually to prise away the Palestinians' hold on the mosque, as well the urban space around it. Half of the building has been restricted to Jewish prayer, but in practice the entire site is under Israeli military control.
As the TIPH report notes, Palestinian Muslims must now pass through several checkpoints to reach the mosque and are subjected to invasive body searches. The muezzin's call to prayer is regularly silenced to avoid disturbing Jews.
Faced with these pressures, according to TIPH, the number of Palestinians praying there has dropped by half over the past 15 years.
In Hebron, as at Al Aqsa mosque in Jerusalem, a Muslim holy site is treated solely as an obstacle one that must be removed so that Israel can assert exclusive sovereignty over all of the Palestinians' former homeland.
A forerunner of TIPH was set up in 1994, shortly after Baruch Goldstein, an Israeli army doctor, entered the Ibrahimi mosque and shot more than 150 Muslims at prayer, killing 29. Israeli soldiers aided Goldstein, inadvertently or otherwise, by barring the worshippers' escape while they were being sprayed with bullets.
The massacre should have provided the opportunity for Yitzhak Rabin, Israel's prime minister of the time, to banish Hebron's settlers and ensure the Oslo process remained on track. Instead he put the Palestinian population under prolonged curfew.
That curfew never really ended. It became the basis of an apartheid policy that has endlessly indulged Jewish settlers as they harass and abuse their Palestinian neighbours.
Israel's hope is that most will get the message and leave.
With Israeli Prime Minister Benjamin Netanyahu in power for a decade, more settlers are moving in, driving out Palestinians. Today Hebron's old market, once the commercial hub of the southern West Bank, is a ghost town, and Palestinians are too terrified to enter large sections of their own city.
TIPH's report concluded that, far from guaranteeing "normal life", Israel had made Hebron more divided and dangerous for Palestinians than ever before.
In 2016 another army medic, Elor Azaria, used his rifle to shoot in the head a prone and badly wounded Palestinian youth. Unlike Goldstein's massacre, the incident was caught on video.
Israelis barely cared until Azaria was arrested. Then large sections of the public, joined by politicians, rallied to his cause, hailing him a hero.
Despite doing very little publicly, TIPH's presence in Hebron had served as some kind of restraint on the settlers and soldiers. Now the fear is that there will be more Azarias.
Palestinians rightly suspect that the expulsion of the observer force is the latest move in efforts by Israel and the US to weaken mechanisms for protecting Palestinian human rights.
Mr Netanyahu has incited against local and international human rights organisations constantly, accusing them of being foreign agents and making it ever harder for them to operate effectively.
And last year US President Donald Trump cut all aid to UNRWA, the United Nations' refugee agency, which plays a vital role in caring for Palestinians and upholding their right to return to their former lands.
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