No.
The Soviets will seek any chance to subvert or invade a treasure house country with a more or less healthy economy right on their border. They tried in Iran, but the Tudeh came up craps when Khomenei won the revolution. And Afghanistan, even with minerals, will never be as healthy or stable after just ten or twenty years than Iran. Especially one that moves them one step from warm water ports on the Persian Gulf. It won't happen as in OTL, but the Soviets will likely find a way to go in there.
Hello?
Afghanistan was in the Soviet influence zone since the 1920s. It was effectively finlandized before Finland. In comparison, the Shah has proclaimed enmity to the Soviets time and again, and came to the power via coup against a Soviet-supported government. The USSR never actively sought to install a communist government there; just propped up any one that was friendly to them. The invasion of 1980 has taken place because after a bloody palace coup the new dictator pretty much publicly announced that he is going to look for a new sponsor (wink, wink, USA).
An AH Afghanistan where the wealth was discovered in the 1960s would be more and more drawn into Soviet sphere - but not by military means. Who would be called to provide the mining technology? The Soviets. Who would build the smelters and refining sites? the Soviets. And all this requires infrastructure - roads, railways, pipelines - which would be built with Soviet help and technology. Possibly pieces of Western technology would be blended in, but only after a consultation with the Soviets.
What I rather foresee is an increasingly centralized Afghan government that pays less and less heed to the needs and wishes of the tribal chiefs, just as the mining infrastructure eats away the traditional ways of life in the mountain villages (usually along with the actual mountains). The result would be tribal insurrection against which the central government loses ground; at that point, the Soviets are called in to support their investment and precious metal supplies.
Along the same lines - not only Afghanistan has a newly found mineral wealth. There are huge untapped copper and nickel deposits under Mongolia, with possibly a high platinum/palladium content. Chinese mining companies are starting to move now, although no ground has been broken yet. I wonder what would happen if
these reserves would have been found in the 1960s - at the height of the Sino-Soviet split, in a country which was traditionally in Chinese zone of influence for centuries, but now a Soviet satellite... Damanski island would have been kid's play.