Or was it because a truly devout Jew will not set foot on the Temple Mount for fear of committing sacrilege by accidentally stepping where the Holy of Holies was located, the place where the Ark of the Covenant was kept and where only select Priests were allowed to go?
Furthermore, what you say obtained about 1967-82, but with every passing year since that, more and more feel they know precisely enough just where that Temple stood, as to be able to avoid treading on it, and guide leaflets were available for that purpose.
It was given back to the Muslimsd in 67 on condition they allow all persons to visit and quietly meditate or pray, but this has been violated and Muslims will certainly kill any non-Muslim who goes up there, at present.
May it be speedily reopened in our days.