It is true that the current Pashinyan administration is leaning towards the west and also Isra"el". After all it was brought to power by a classical CIA-sponsored, fake "color revolution". By virtue of this, it might as well be inclined to give away Zangezur.
This said, many key players aren't seeing eye to eye with him in this regard. The first one being Armenian people themselves, as well as the Armenian opposition. Pashinyan would be walking a very tight rope, as any such decision to cede Armenian land to the Azarbaijanis will be guaranteed to trigger strong reactions domestically. He'd be seen as a traitor (which he already is in large segments of the Armenian public), so there's no guarantee he could successfully pull this off.
Moreover you say Armenians aren't pro-Iran nor pro-Russia, let's assume this is true. Above all however, they are anti-Turkish minded. There's so much bad blood between them, it's not going to be washed away as simply as that.
Then, two major regional actors, Russia and Iran, will also oppose any such decision by Erevan and step in to counter it if necessary. Remember Iran using proxies can easily destabilize whatever transportation infrastructures traverse Zangezur. A lot of the benefit Baku hopes to derive from it will be gone. China in particular will never use Zangezur as part of the OBOR east-west axis if frequent attacks take place. Geopolitical tensions alone and the risk of sabotage would be dissuasive to Beijing.
Iran will not rest until the issue of zionist presence and mischief in the Republic of Azarbaijan is solved. Diplomacy would be the most constructive way forward to that effect, for all parties involved. Saudi Arabia managed to sit at a table with Iran and consequently halted its fruitless attempts at fighting the Islamic Republic at the behest of western and zionist imperialists. The Aliyev regime should take inspiration from that.
If the regime in Baku decides otherwise however, there will definitely be a response from Iran. Even if Iran chose not to opt for outright use of Iranian ground forces.
My family is comprising Azari-speakers as well, yes. All 1000% loyal to Iran, realizing how Iran is and has always been their homeland, and how they are an Iranian people indeed. The very term Azar is Iranian, meaning fire.
In case of full fledged military conflict, Iran would rapidly wipe the floor with Baku.
A fair amount of Baku citizens actually realize it. Here's an example:
The maker of the video seems to be Azari-speaking Iranian too.