The answer to your question is in your question if you choose to think about it.
First of all, NOBODY in the history of Islam has EVER recognised the 4 Madhahib as sects or cults or distinguishing factors within Islam. Nevertheless, EVEN if you think of them as such they distinguishing factors i.e. a “Hanafi” is different to a “Shaf’ae” who is different to a “Hanbali”.
The question then becomes what is “Deobandi”? Where is this defined?
Secondly, you started with an arbitrary term to distinguish yourself so you name yourself “Deobandi” but now within the “Deobandi” you need to split and distinguish yourself and you have 3-4 groups
- Deobandi Hayati:
- Deobandi Mamati
- Deobandi PunjPeeri
- Deobandi (Tauheed-O-Sunnat)
Within Tableeghi Jamaat you have two groups so you now have:
- Deobandi Tableeghi Saadi
- Deobandi Tableeghi Aalami
This split has happened right in front of your eyes
Allah Ta’ala choose for you the religion of “Islam” and the title of “Muslim” but you are so engrossed in identity politics that you split it, then you split it and then you split it again.
Loading Qur'aan Verse 
[3:103] And hold firmly to the rope of Allah all together and do not become divided. And remember the favor of Allah upon you - when you were enemies and He brought your hearts together and you became, by His favor, brothers. And you were on the edge of a pit of the Fire, and He saved you from it. Thus does Allah make clear to you His verses that you may be guided.
Loading Qur'aan Verse
[3:19] Truly, the (recognized) religion in the sight of Allah is Islam . Those who have been given the Book did not differ (among themselves) until after the knowledge had come to them, (and all this) due to envy against each other. Whoever denies the verses of Allah, then, Allah is swift at reckoning.
Loading Qur'aan Verse
[22:78] Struggle for (seeking the pleasure of) Allah, a struggle that is owed to Him. He has chosen you and did not impose any hardship on you in the religion, the faith of your father Ibrahim. He (Allah) named you as Muslims earlier and also in this (Qur‗an), so that the Messenger becomes a witness to you, and you become witnesses to (other) people. So establish Salah, pay Zakah and hold fast to Allah. He is your patron. So, how excellent He is as a patron, and how excellent as a supporter!
The Ashari/Maturidi divide is due to the need to counter heretical views, it is not something to be proud of. In other words, the Fitnah arose so you needed to split but NOBODY walked around introducing themselves as “Ashari/Maturidi”. The purpose of Ulama of Deoband was not to create a brand new identity IN FACT they went out of their way to keep saying that they are Ahslu-Sunnah Wal-Jamaat but you (laymen) have create a new cult called “Deobandi”
Then you became “Deobani Hanafi”
Now you have become “Deobandi Hanafi Hayati”
Where will this end?
In this whole discussion, understand this:
NOBODY IS DENYING THE ENORMOUS CONTRIBUTION OF THE ULAMA OF DEOBAND.
If you understood this just one line from the whole post (above), I have succeeded.
P.S:The problem is that you are all thinking that someone is abusing the Ulama of Deoband like Maulana Ashraf Ali Thanwi (RA) etc by this thread. Maulana Ashraf Ali Thanwi (RA) NEVER called himself a “Deobandi” by Aqeedah and NEVER advised any of his followers to call them “Deobandi”! If your purpose is to distinguish yourselves from Barelwees THEN he was alive and refuting Maulana Ahmed Raza Khan Barelwee (RA), he had a bigger need to call himself “Deobandi”, much more!
