Stone stroking is a means of mentally getting in the zone or the magical mind-set. The stone is stroked & 'the incantation is repeated as a means of occupying the conscious mind while inwardly focusing on the slightly altered consciousness state of knowing that the thing is already done or in other words "making a wish." A light trance state frees the mind to experience knowing. This can be done by stone stroking with chanting & rocking the body slightly & steadily to self-hypnotize. The stone's appearance as smooth for healing, encircled with a line for wishing or crisscrossed by multiple lines as a map act as symbols to the unconscious mind. Hag stones are traditionally good luck charms. When "knowing" is achieved it can feel like a hunch, as if a window opened in the mind letting in fresh air & light. That's the best i can describe the feeling in light trance. Stone stoking is more than holding a rock & making a wish. It's knowing
how to make a wish.
An old healing incantation: “Stone to stone, bone to bone, flesh to flesh, vein to vein, Name is whole again.”
To know, to will, to dare & to be silent are states of mind. They form the "Witch's pyramid" or "four powers" & come from Hermetic teachings. Witches, being poor, plain folk just borrowed the language for what they already knew, as I see it. But it's basic magic principles.
Those pictures you've posted really help. When I look at a stone with a line I see the three-worlds symbolism and the plane of the ritual circle. The line divides the surface into 3 parts - above the line, the line itself, & below the line. That line also forms a ring around the stone or encompasses like a
circle. All the "stuff" witches do is contained in the meaning of that circle symbol that exemplifies our whole conception of magical know-how. Uniting the 3-worlds of cosmic, mundane & unseen worlds is mind-altering; a circle itself is balanced by the five elements that "squares a circle" (:-:) & represents the corners of the temple holding the circle in place & is the same meaning as calling the quarters; &
the celestial pole is seen as uniting heavenly, earthly & underworld realms at the center of the world (Omphalos) & forming the crossroads of the four cardinal directions of the earth. When a person stands in the center-of-one's-being or the center of a circle then one is equally present in all three realms & thus is able to do magic. So a simple ring around a stone is a picture of magical ritual & puts the mind into the zone of magical thinking. That's what symbols & ritual do to make magic happen & is knowing
how to wish.
One interpretation of holed, holey or hag stones appears to be as ancient symbols associated with primordial creation, depicting the entrance of the cosmic womb thru which souls enter life & exit in death. Holed stones (3-ft tall) were used as altars at Gobekli Tepi, a 13,000 year old multiple stone circle ritual site. Thus the holey stone is an ancient charm with power over life & death. They are often seen braided into witches ladders & threaded as pendants to be used as potent reminders of the power of Creation, the powers of Life. Primitive thinking can be very literal but grasps symbolism.
I'm not sure what you mean by "are they fake?" They're real stones
& as such are just tools taken from Nature & serve the same function as any ritual tool - to transform the mind to move energy at Will. The magic is in the mind of the user who assumes a primitive mental state of consciousness to project their Will. When you learn
how it makes sense but if it's all new & the jargon is irrelevant then it's a bunch of hooey. That's as it should be.