If you decide to do this, do it on a small scale in a well ventilated space and wear protection particularly for the face just in case what you have is not EDTA.
I don't have disodium EDTA but I have the acid form. I measured 23 g of the acid EDTA (fine powder) and added 50g of water and got the same slurry that is in the pictures. I added 10 g of NaOH while stirring. It heated up instantly and everything was dissolved in under a minute. The solution cleared completely. The pH at that point was between 7 and 8. I added another 1.5g of NaOH to take the pH to about 9. If it takes ~50% as much NaOH as EDTA to dissolve the EDTA form you have, it's the acid form. If you get a clear solution with significantly less NaOH, you have the disodium salt. The EDTA acid I'm using is >99% pure. The purity of the chemical you have may vary but should be above 95%.
I shouldn't have added the NaOH all at once because the solution overheated and wanted to boil. If you try it, add the NaOH in 3 to 4 installment to avoid overheating. This way, if you have the disodium form, you'll be able to figure it out because the chemical will not need as much NaOH to dissolve.
The last thing to consider is to reduce the amount of the acid EDTA used in the soap since gram for gram, there is more EDTA in the acid form than there is in the tetra form.
If you don't trust the supplier, you can always trash it or return it.