It has quite beautiful character. The condition on this carpet, provided there are no other unseen structure problems, would still be considered poor at best. It does appear to have potential, although the photograph quality is limited and it really is best to see in person. Of the rugs you have posted, this would appear to be the most viable of the bunch to have a good potential market value if it were put to auction or sold to a dealer. These are the two determinants for market value.
However, as the condition is quite rough, the repair quality unknown and quite extensive, this will never be considered a pristine or exemplary piece. If the repair is done properly and in the spirit of the original rug, the carpet will have great decorative value. At times, rugs with high decorative value may sell for exceedingly high prices, however, for Indian rugs of the 19th century, not many have pushed the envelope over the six figures in public sale, and especially those with extensive restorations.
I very much look forward to seeing the repairs, regardless of the points above, it is a shame to not do something with this rug and I am glad to hear you will bring it back to service