Yes
As you cite, Blind Fighting (TCE) gives you (emphasis mine):
You have blindsight with a range of 10 feet. Within that range, you can effectively see anything that isn't behind total cover, even if you're blinded or in darkness. Moreover, you can see an invisible creature within that range
Comparing this with Blindsight from the PHB section on Vision and Light (emphasis mine):
Blindsight
A creature with blindsight can perceive its surroundings without relying on sight, within a specific radius.
We could split hairs and debate whether 'effective sight' is better than 'perceiving without sight'. Fortunately, we don't have to because either of these abilities permit you to target with sight-based spells.
A ruling in Sage Advice Compendium shows that RAI is that both of them permit targeting:
Can a blinded creature make an opportunity attack? An opportunity attack is triggered by “a hostile creature you can see” (PH, 195). If you can’t see an enemy, you can’t make an opportunity attack against it. Creatures with blindsight are an exception to this rule, because that ability lets those creatures “see” within a certain radius.
Apparently blindsight is supposed to be treated as sight for its interactions with other sight-based rules, and thus can be used to allow the casting of spells that rely on sight. As Darth Pseudonym says, "Blindsight counts as seeing, even though it isn't." And if 'perceiving without sight' permits this, surely 'effectively seeing' does as well.
Blind Fighting also appears superior in that it explicitly allows you to see invisible creatures, meaning not only can you target them with sight-based spells, but you will not be at disadvantage, right? Unfortunately not. There is an interesting overlap between the rules for invisibility and the rules for being unseen, both of which means attacks on you are at disadvantage. Normally, when you are invisible, you are also unseen - but even though both apply, they don't stack. You can also be unseen without being invisible (such as if you are obscured by darkness) and you can be invisible without being unseen (such as if you are under an invisibility spell but your observer has see invisibility or Blind Fighting). But note that the disadvantage invisibility brings is not contingent on being unseen, nor does it go away if you are seen. The Invisible condition says only:
Attack rolls against the creature have disadvantage, and the creature's attack rolls have advantage.
And, RAI, this disadvantage persists even if your attacker can see you. To summarize the linked video, Jeremy Crawford says that if you're invisible and a creature has Blindsight, Truesight, or See Invisibility, they can see you, but you still have advantage to attack and they still have disadvantage to attack you. The support for this argument can be found in spells like Faerie Fire which specify that they remove the benefits of invisibility.