I have only replaced leather facings so cannot talk for M-B Tex or Fabric - but here is a precis of the recovery process.
1) Springs need to be sorted
2) Horsehair pads need to be in reasonable condition and if they are you will still probably need extra foam (1/2 inch is recommended on top to pad out the cover but don't "overstuff" either). They are just a slip fit over the springs.
3) The new cover has a linen backing with loops that take a pair of wires that you swap from the old to the new and run fore and aft in the squab and vertically in the backrest.
4) The wires are then attached to the horsehair lengthwise and fit into grooves in the seat bottom and back and these are held by wire ties like 3 inch long U-shaped staples - their ends are turned over underneath the horsehair after poking them through and this is what holds the panel in position.
The diameter of the wire ties is critical as I tried to use wire that was too thick (it was all I had on a public holiday) and they caused a couple of pressure areas which if left would have rubbed through the drivers seat squab with prolonged use. I had to subsequently remove the seat and replace the ties as well as pad out the squab with a bit more foam.
5) the remaining linen backing is then stretched over the outer edges of the horse-hair and down the sides and this is then held with the Hog-ties you have shown in the previous post - carefully getting tension even.
5) Last of all the outer edges with the cardboard backing are fed into the channels in the seat base. This is the finger breaking hard work part and it helps to have someone sitting on the seat while you gently stretch and poke the fibre reinforced seam into the channel in the seat bottom.
6) Then you do it all again to get the bumps and creases out of it

7) Then you put the seat together and get it back in the car without damaging anything.
Pulling a seat apart slowly and gently will rapidly show you how it all works. I would rather use leather or fabric than M-B Tex unless the M-B Tex is soft. Leather was a real buggar and slowly stretches when put in tension - sure hope M-B Tex does the same.
You get very strong fingers out of it.

But the final result is amazing and truly beggars belief.
Subsequent to this photo the drivers seat (the one without the fire extinguisher) has been removed and the squab restuffed and now after 8 months both seats are ripple free.
Bill