Would it be that bad of a thing ? As (Blackwatch) Falcons rebuilding, newer evolving culture in new Star League, integrating, mending bridges. Seems that Tara has been set up as a plot catalyst to branch new fiction. After all, (proper) Falcons have their history in the Terran Hegemony and Blackwatch, which was great buddies with Northwind Highlanders
And Campbell bloodname would be nice, showing more integration, as let's face it, the new Star League is going to be a big mixer (As soon as Alaric realizes this, and relaxes some of his attitudes, real development can begin)
Yes. Because it would be unearned and read like Mary Sue garbage. Yes, I'm aware how much baggage the term has, but Alaric's Wolves just magically making people like them after all the damage they've done to everyone near them for the last 20 years in universe requires Mary Sue levels of crap writing. It's part of why HotW was so bad. Why we hate Tara's - I'm using the word generously here - story in HotW.
1) It would require more inner sphere groups to bafflingly just become friendly to clan oppressors who just destroyed their way of life, their dreams of a peaceful sphere. Alaric sent out a message that said "I own the universe and everything in it, it will be mine." NWH (which is all RAF at this point) would recognize the start of a Reunification war, which stands against all their beliefs.
2) In universe, the Falcons are still seen as butchers, as they should. "Hey man, we totally turned a new leaf" would sound like a crock and expecting their neighbors to believe it any time soon defies plausibility. Long term, over like... 10-20+ years, maybe Falcons could salvage their reputation. There should be bad blood, revenge killings, refusal to allow falcons to retreat unmolested or surrender, etc. for a long time.
3) This "connection" between the Falcons and NWH isn't a thing. I don't get why people think a group that has, for years, watched Falcons slaughter their fellow soldiers, murder the civilians they swore to protect, and destroy the nation they believed in would get along with the Falcons. More plausible is NWH shoots every falcon on sight, including Tara.
There are interesting paths forward for the Terran falcons. Pretending Tara could mend wounds with NWH is not one of them.