Sorry, I thought I already posted this.
If it was me I would buy some 4 foot wide galvanized expanded metal lath, 1/4 to 1/2 size. The good stuff has ribs, but I doubt that you will find here, other than roll
Fasten to your intended walkway, use hardened steel concrete nails to secure the mesh to the tiles, using the grout lines. Wear gloves when handling lath. You do not want to make them too tight. You might also think about expansion joints at this stage. A special wood or more expensive plastic/rubber waterstops. If the concrete shifts it will split at these joints - much easier to fix. If you have clayish soil, these expansion joints should be about every six to 8 feet.
Now the concrete. Standard cement mixed with coarse and fine sand, then lots ot pea gravel. Add some acrylic resin concrete fluid, to make it stick better and much stronger. You can make the admixture stiff and trowelable (strongest) or runny, self level which will will require some used motor oil covered boards to keep the concrete in place while it sets. cover with black plastic for one week, or sprinkle water everyday for a week.
This might be as thin as 1 inch to be very strong and relatively lightweight. As the cement wears away, you will be left the good grip of the sand and gravel. To remove, is much easier than slabs or old tiles.
Sounds like a lot of work. It is not. Have fun with it! Get creative, shells, broken ceramic shards, pretty stones all embedded before it sets.