Thanks, Francisco.
A couple of years ago, my first attempts at grafting figs failed miserably. I used to do it like apples or pears and fig grafts are much more sensible to loss of humidity from the scion, so they all failed.
The "secret" is protecting the grafts against dehydration. I saw a video of a guy in Palestine grafting some fig trees. He was opening the scions with pruning shears! and doing some cleft grafts.
One of the worst jobs in grafting i ever saw. He even tied the grafts with simple plastic strips from plastic bags instead of the more modern materials we now have.
But then, he placed a plastic bag over the graft and tied it with the most care. And placed another paper bag over the plastic one and tied it tightly also. That video made me think about protecting my fig grafts much better.
Axier, that was one of the guys that i read with most interest in this forum, several years ago, was grafting figs at the time, but used mainly Chip Bud grafting.
He even recommended not using Cleft or Whip and Tongue because, according to professional grafters he had spoken to, it had a very low percentage of success. Sometimes even 0%!
Next year i tried a few Chip Bud grafts and more than 60% were successful. But i also tried 6 Whip and Tongue in March, April and even June. I protected them well for at least a month with paper envelopes - the kind that has a plastic bubbly interior.
They all!! where successful. So, now, when i need to secure a particular fig variety i received, my first bet is grafting.
If you remember, several months ago you sent me a couple of cuttings of Sofeno Preto. I began rooting one with coco coir. It took some time, but the roots developed well. Unfortunately, when i placed it in a soil mix it began to wither and died quickly, despite all my efforts. The same happened to lots of precious other varieties i received. I blame it on the coco coir (too much of it went stuck to the roots and when i watered the soil mix, it acted as a sponge and the humidity excess killed the roots.)
At the time i had all these cuttings (mentioned in the first post) in my improvised greenhouse, apparently doing very well, so i decided to place all my up potted surviving and remaining refrigerated cuttings in the same conditions and use the "rooting directly in soil" approach.
Here a photo of this "ALL IN" move directly to soil with all my remaining and surviving cuttings - Like in a big poker game with high stakes, i didn't sleep for a few days...

It went well for most of the refrigerated cuttings, that are now in pots doing fine. Almost all the cuttings that had been in the coco coir before, died.

But some of the refrigerated ones seemed reluctant. A few showed one or two tiny green buds, but with no development for several weeks.
I dug up a few of those and they had no roots - some 2 months after going directly to the soil.
These stubborn varieties, that develop roots more slowly, were not impressed with the rooting in soil approach.
One of them was the remaining Sofeno Preto cutting. Two green buds since the start, but no movement for 2 months.
It seemed frozen in time. Here's a photo in late March:
Here's another photo in late April:

I removed it from the soil and there was not one root in site and the 2 green buds where beginning to turn brown)
Without other options and determined not to loose this precious variety, i decided to graft it, even after 2 months in the soil (since March until May).
I removed a bottom chip with a dormant bud and grafted it. With the rest of the cutting i did a whip and tongue.
It was a desperate move but, 4 weeks after the graft (done in May/7), i opened the paper bag and was rewarded with the site of small leafs appearing.
Here it is, one month after the graft (June/6).
I kept the protection and shade for another few weeks and the graft is doing fine.
Even the FMV it showed in all the leaves in the first month with all the stress it suffered, is much better now.
In June/30:
Here's a recent photo:
The chip also took but is still dormant - it may wake up next season.
So, to sum up, you are completely right. Without some grafting experience, this cutting would be inevitably lost.
I now regret insisting on rooting some of the others varieties that i ended up loosing (4 or 5) - if i had grafted them, even only a small chip, i probably would now have a "backup".
Every fig enthusiast should consider adding grafting to their bag of tricks.